pith. sign in
Pith Number

pith:WPRYKRPA

pith:2014:WPRYKRPABA42H2KOCBARFIO3HI
not attested not anchored not stored refs pending

Graphical potential games

Omer Tamuz, Yakov Babichenko

arxiv:1405.1481 v2 · 2014-05-07 · math.PR · cs.GT · econ.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WPRYKRPABA42H2KOCBARFIO3HI}

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 2026-05-18T00:09:48.226067Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b3e38545e00839a3e94e104112a1db3a0bcbc5a8ded3a84b10b5d423979cc53b

Aliases

arxiv: 1405.1481 · arxiv_version: 1405.1481v2 · doi: 10.48550/arxiv.1405.1481 · pith_short_12: WPRYKRPABA42 · pith_short_16: WPRYKRPABA42H2KO · pith_short_8: WPRYKRPA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WPRYKRPABA42H2KOCBARFIO3HI \
  | 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: b3e38545e00839a3e94e104112a1db3a0bcbc5a8ded3a84b10b5d423979cc53b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4455515a04bc47f45bf3b550bfd03f22852d46bf9025fad57a4e2a391d4fe357",
    "cross_cats_sorted": [
      "cs.GT",
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-07T01:00:07Z",
    "title_canon_sha256": "b6615ed369c1f49bd5fef02c79be577bdf88c94010cebe899c6812e52d3b11cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1481",
    "kind": "arxiv",
    "version": 2
  }
}