Pith Number

pith:TQVPJTEJ

pith:2023:TQVPJTEJ3X3WCTH64ZCZWIT77W

not attested not anchored not stored refs pending

Differential Equation Approximations for Population Games using Elementary Probability

Nuno C. Martins, Semih Kara

arxiv:2312.07598 v1 · 2023-12-11 · cs.GT · cs.MA · cs.SY · eess.SY · math.DS · math.PR · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQVPJTEJ3X3WCTH64ZCZWIT77W}

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

Aggregate Fictitious Play for Learning in Anonymous Polymatrix Games (Extended Version)

Receipt and verification

First computed	2026-07-05T07:23:33.249625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2af4cc89ddf7614cfee6459b227ffdbd7c82d04a677b5d1c8f1fca843a8d9b

Aliases

arxiv: 2312.07598 · arxiv_version: 2312.07598v1 · doi: 10.48550/arxiv.2312.07598 · pith_short_12: TQVPJTEJ3X3W · pith_short_16: TQVPJTEJ3X3WCTH6 · pith_short_8: TQVPJTEJ

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/TQVPJTEJ3X3WCTH64ZCZWIT77W \
  | 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: 9c2af4cc89ddf7614cfee6459b227ffdbd7c82d04a677b5d1c8f1fca843a8d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fac070f8754474490e0b27fcdd05cfca79910937cd220be7b5c5248dc770527",
    "cross_cats_sorted": [
      "cs.MA",
      "cs.SY",
      "eess.SY",
      "math.DS",
      "math.PR",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-12-11T13:28:24Z",
    "title_canon_sha256": "799076714abf8c17d282f353d1b91e160239c5a526de596a5a155f295baa0492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07598",
    "kind": "arxiv",
    "version": 1
  }
}