Pith Number

pith:7PP7OGHC

pith:2017:7PP7OGHCB4P4XBV7XSLRZCD2QR

not attested not anchored not stored refs pending

On the distribution of the number of internal equilibria in random evolutionary games

Hoang Minh Tran, Manh Hong Duong, The Anh Han

arxiv:1711.03848 v1 · 2017-11-08 · math.AP · math.DS · math.PR · q-bio.PE · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PP7OGHCB4P4XBV7XSLRZCD2QR}

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	2026-05-18T00:30:51.299847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdff718e20f1fcb86bfbc971c887a844c8e45cef9645e184f9fb012d191238b

Aliases

arxiv: 1711.03848 · arxiv_version: 1711.03848v1 · doi: 10.48550/arxiv.1711.03848 · pith_short_12: 7PP7OGHCB4P4 · pith_short_16: 7PP7OGHCB4P4XBV7 · pith_short_8: 7PP7OGHC

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/7PP7OGHCB4P4XBV7XSLRZCD2QR \
  | 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: fbdff718e20f1fcb86bfbc971c887a844c8e45cef9645e184f9fb012d191238b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cd72ea96bb13c979a389f7dd422c59724686c55560232ab51ec740e1a12c8d",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "q-bio.PE",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-08T20:23:52Z",
    "title_canon_sha256": "19f730dff5444118c2cac97f7e7a1129c896429b11b6f7c5023e898c46e4c887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03848",
    "kind": "arxiv",
    "version": 1
  }
}