Pith Number

pith:MDBJ2MM5

pith:2017:MDBJ2MM5MIDKAHFRKDRDXG5PUI

not attested not anchored not stored refs pending

Analysis of a Finite State Many Player Game Using its Master Equation

Asaf Cohen, Erhan Bayraktar

arxiv:1707.02648 v2 · 2017-07-09 · math.AP · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDBJ2MM5MIDKAHFRKDRDXG5PUI}

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

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	2026-05-18T00:10:57.169624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c29d319d6206a01cb150e23b9bafa21b73a87b67ee5520491b51556481c3c8

Aliases

arxiv: 1707.02648 · arxiv_version: 1707.02648v2 · doi: 10.48550/arxiv.1707.02648 · pith_short_12: MDBJ2MM5MIDK · pith_short_16: MDBJ2MM5MIDKAHFR · pith_short_8: MDBJ2MM5

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/MDBJ2MM5MIDKAHFRKDRDXG5PUI \
  | 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: 60c29d319d6206a01cb150e23b9bafa21b73a87b67ee5520491b51556481c3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a250c9e03fe720fb9d194de8e800a2b53237cd3606cec6071ba77eb445f0ff6a",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-09T22:05:58Z",
    "title_canon_sha256": "3fe73399da781feeba5374da4d1afa42797d3e0d4f7abfb0d445b75f073135d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02648",
    "kind": "arxiv",
    "version": 2
  }
}