Pith Number

pith:O7AZ363O

pith:2020:O7AZ363OGYV3RKKV6HTUQFLWO4

not attested not anchored not stored refs pending

Solving the Three-Player-Game

Fangqi Li

arxiv:2008.09796 v4 · 2020-08-22 · math.PR · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7AZ363OGYV3RKKV6HTUQFLWO4}

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	2026-07-05T01:34:24.112758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c19dfb6e362bb8a955f1e748157677061c8d9b63874a1f3a75cee9c77313d2

Aliases

arxiv: 2008.09796 · arxiv_version: 2008.09796v4 · doi: 10.48550/arxiv.2008.09796 · pith_short_12: O7AZ363OGYV3 · pith_short_16: O7AZ363OGYV3RKKV · pith_short_8: O7AZ363O

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/O7AZ363OGYV3RKKV6HTUQFLWO4 \
  | 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: 77c19dfb6e362bb8a955f1e748157677061c8d9b63874a1f3a75cee9c77313d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2de58d999d7fa5d6d63fc1447957ed23dbb122f56e942367c12039dfe2a871",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-22T10:06:36Z",
    "title_canon_sha256": "a65e717d3bc7a02906a5553fba34b13f3516374da83487133a6df721d7786a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09796",
    "kind": "arxiv",
    "version": 4
  }
}