Pith Number

pith:VPOGYORW

pith:2026:VPOGYORWMGLXQPFYDGMNSLDO2Q

not attested not anchored not stored refs pending

Learning to Optimize by Differentiable Programming

Chee Wei Tan, Liping Tao, Xindi Tong

arxiv:2601.16510 v3 · 2026-01-23 · cs.MS · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPOGYORWMGLXQPFYDGMNSLDO2Q}

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

1 paper in Pith

Learning-Based Spectrum Cartography in Low Earth Orbit Satellite Networks: An Overview

Receipt and verification

First computed	2026-06-09T01:05:13.137479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdc6c3a366197783cb81998d92c6ed40e0baf05c68e544e5d9849c9208c404c

Aliases

arxiv: 2601.16510 · arxiv_version: 2601.16510v3 · doi: 10.48550/arxiv.2601.16510 · pith_short_12: VPOGYORWMGLX · pith_short_16: VPOGYORWMGLXQPFY · pith_short_8: VPOGYORW

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/VPOGYORWMGLXQPFYDGMNSLDO2Q \
  | 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: abdc6c3a366197783cb81998d92c6ed40e0baf05c68e544e5d9849c9208c404c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbff57ecca2ecee90fc6dfab3d9d8212b71398234d543628dc0581e8d9604489",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2026-01-23T07:18:07Z",
    "title_canon_sha256": "b39a578763f37128e17c13cee32d86d307f7a59e7ea0fb8784c260d1510501a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16510",
    "kind": "arxiv",
    "version": 3
  }
}