Pith Number

pith:J5ADH4XS

pith:2015:J5ADH4XSQ6Q3XAUACHKD3QTYWT

not attested not anchored not stored refs pending

On The Interpretation Of The Master Equation

Alain Bensoussan, Jens Frehse, Phillip Yam

arxiv:1503.07754 v1 · 2015-03-26 · math.OC · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5ADH4XSQ6Q3XAUACHKD3QTYWT}

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	2026-05-18T02:20:18.847755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4033f2f287a1bb828011d43dc278b4cc0d84f0337f710102ccf6705c656cad

Aliases

arxiv: 1503.07754 · arxiv_version: 1503.07754v1 · doi: 10.48550/arxiv.1503.07754 · pith_short_12: J5ADH4XSQ6Q3 · pith_short_16: J5ADH4XSQ6Q3XAUA · pith_short_8: J5ADH4XS

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/J5ADH4XSQ6Q3XAUACHKD3QTYWT \
  | 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: 4f4033f2f287a1bb828011d43dc278b4cc0d84f0337f710102ccf6705c656cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb51afa4d01f3d27d06bcdc871f542039a709315ad7b20ceff85c900f503ea44",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-26T14:44:41Z",
    "title_canon_sha256": "0a90ce2b2fc127358de935116584bf4e8c41365ba2dd240da96673de8b0af3e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07754",
    "kind": "arxiv",
    "version": 1
  }
}