Pith Number

pith:TGVGC3YD

pith:2018:TGVGC3YDUBCCRXU6MPENQLWUWZ

not attested not anchored not stored refs pending

On Arbitrarily Long Periodic Orbits of Evolutionary Games on Graphs

Jeremias Epperlein, Vladim\'ir \v{S}v\'igler

arxiv:1805.03849 v1 · 2018-05-10 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGVGC3YDUBCCRXU6MPENQLWUWZ}

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	2026-05-18T00:16:18.609982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99aa616f03a04428de9e63c8d82ed4b66327e416f274bc3de376c58c2c0e0b86

Aliases

arxiv: 1805.03849 · arxiv_version: 1805.03849v1 · doi: 10.48550/arxiv.1805.03849 · pith_short_12: TGVGC3YDUBCC · pith_short_16: TGVGC3YDUBCCRXU6 · pith_short_8: TGVGC3YD

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/TGVGC3YDUBCCRXU6MPENQLWUWZ \
  | 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: 99aa616f03a04428de9e63c8d82ed4b66327e416f274bc3de376c58c2c0e0b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d41efdfc99bdb8bff719425d9c88f3f138645a298b46f7bbe5d441362242fd7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-10T06:53:54Z",
    "title_canon_sha256": "cab0ee646aa53669b062a0c742a8d244f40f7dcd059d7f9cb12218a5d9f0f12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03849",
    "kind": "arxiv",
    "version": 1
  }
}