pith. sign in
Pith Number

pith:QTIU57W2

pith:2016:QTIU57W2J7BBPCKOGQ6HNDPPM4
not attested not anchored not stored refs pending

Equilibrium Graphs

Carlos P\'erez, Gilberto P\'erez, Pedro Cabalar

arxiv:1609.02010 v1 · 2016-09-07 · cs.AI · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QTIU57W2J7BBPCKOGQ6HNDPPM4}

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 2026-05-18T01:05:09.409884Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0

Aliases

arxiv: 1609.02010 · arxiv_version: 1609.02010v1 · doi: 10.48550/arxiv.1609.02010 · pith_short_12: QTIU57W2J7BB · pith_short_16: QTIU57W2J7BBPCKO · pith_short_8: QTIU57W2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QTIU57W2J7BBPCKOGQ6HNDPPM4 \
  | 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: 84d14efeda4fc217894e343c768def6709cee8e2bce9c84a64a4e7a96b97b6d0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "19234738a68c71daecc451c2f1c0ca3a992efb2e545df497377df5913670661a",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2016-09-07T15:07:21Z",
    "title_canon_sha256": "32047ea8230df65cd75fadb1eadd27f3bc7acfeb28ff4fe66dfe6b53faf9b48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02010",
    "kind": "arxiv",
    "version": 1
  }
}