Pith Number

pith:EIMXW5WF

pith:2024:EIMXW5WF5BBYRRC6KJYVKQTA5B

not attested not anchored not stored refs pending

A Compositional Framework for First-Order Optimization

Evan Patterson, James Fairbanks, Matthew Hale, Matthew Klawonn, Tyler Hanks

arxiv:2403.05711 v1 · 2024-03-08 · math.OC · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIMXW5WF5BBYRRC6KJYVKQTA5B}

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.

Receipt and verification

First computed	2026-07-05T07:54:12.214234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22197b76c5e84388c45e5271554260e865e244b1f91825200bc580815e122572

Aliases

arxiv: 2403.05711 · arxiv_version: 2403.05711v1 · doi: 10.48550/arxiv.2403.05711 · pith_short_12: EIMXW5WF5BBY · pith_short_16: EIMXW5WF5BBYRRC6 · pith_short_8: EIMXW5WF

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/EIMXW5WF5BBYRRC6KJYVKQTA5B \
  | 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: 22197b76c5e84388c45e5271554260e865e244b1f91825200bc580815e122572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0e93791f5c32791bfecabde1bb263274ac91f97e9a9f15ace1ceba680dd5fb",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-03-08T22:58:17Z",
    "title_canon_sha256": "cb62bb653712db13ae1762dcdbb42eb37229ebb1f01708892e83f8360dd831d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.05711",
    "kind": "arxiv",
    "version": 1
  }
}