Pith Number

pith:VZLWTYT2

pith:2022:VZLWTYT2RSIKBOLV4ZHBDH72U4

not attested not anchored not stored refs pending

Gradients without Backpropagation

At{\i}l{\i}m G\"une\c{s} Baydin, Barak A. Pearlmutter, Don Syme, Frank Wood, Philip Torr

arxiv:2202.08587 v1 · 2022-02-17 · cs.LG · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZLWTYT2RSIKBOLV4ZHBDH72U4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

9 papers in Pith

Adaptive directional gradients for parameterised quantum circuits

Position: Zeroth-Order Optimization in Deep Learning Is Underexplored, Not Underpowered

Dimensional Type Systems and Deterministic Memory Management: Design-Time Semantic Preservation in Native Compilation

Adaptive Domain Models: Bayesian Evolution, Warm Rotation, and Principled Training for Geometric and Neuromorphic AI

The Program Hypergraph: Multi-Way Relational Structure for Geometric Algebra, Spatial Compute, and Physics-Aware Compilation

Receipt and verification

First computed	2026-07-05T03:57:55.942475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5769e27a8c90a0b975e64e119ffaa71e8efa6944a8a6d49463b72b81fc9690

Aliases

arxiv: 2202.08587 · arxiv_version: 2202.08587v1 · doi: 10.48550/arxiv.2202.08587 · pith_short_12: VZLWTYT2RSIK · pith_short_16: VZLWTYT2RSIKBOLV · pith_short_8: VZLWTYT2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VZLWTYT2RSIKBOLV4ZHBDH72U4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ae5769e27a8c90a0b975e64e119ffaa71e8efa6944a8a6d49463b72b81fc9690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d689532ec02a234ef46ac9b3275f9e30ea467301a14a566d316c86023c4ab17",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-02-17T11:07:55Z",
    "title_canon_sha256": "45173bcb90c9717f046c0c57bb499dd42993e4df329092616c6a2a4c0eb8dba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.08587",
    "kind": "arxiv",
    "version": 1
  }
}