Pith Number

pith:6QJ5NCRV

pith:2010:6QJ5NCRVULKFR7UQHOG2RKK7HB

not attested not anchored not stored refs pending

A polynomial invariant and duality for triangulations

David Renardy, Vyacheslav Krushkal

arxiv:1012.1310 v4 · 2010-12-06 · 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{6QJ5NCRVULKFR7UQHOG2RKK7HB}

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	2026-05-18T02:41:25.008874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f413d68a35a2d458fe903b8da8a95f38414346932b82c02027e6d4ac5c21f92c

Aliases

arxiv: 1012.1310 · arxiv_version: 1012.1310v4 · doi: 10.48550/arxiv.1012.1310 · pith_short_12: 6QJ5NCRVULKF · pith_short_16: 6QJ5NCRVULKFR7UQ · pith_short_8: 6QJ5NCRV

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/6QJ5NCRVULKFR7UQHOG2RKK7HB \
  | 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: f413d68a35a2d458fe903b8da8a95f38414346932b82c02027e6d4ac5c21f92c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "456fd4dfdf8a938cfe8bbb3c30283cd9a8c67d145f4c50558fd4cabee2df87f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-06T20:55:47Z",
    "title_canon_sha256": "6a440524d700353d4755e07652e23415407b481e1de7ed6541267859de9850b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1310",
    "kind": "arxiv",
    "version": 4
  }
}