Pith Number

pith:5PR6ZHGD

pith:2014:5PR6ZHGDDKQ3R3FR4NK6OFAWBZ

not attested not anchored not stored refs pending

Curvature from Graph Colorings

Oliver Knill

arxiv:1410.1217 v1 · 2014-10-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PR6ZHGDDKQ3R3FR4NK6OFAWBZ}

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.

Cited by

1 paper in Pith

The energy of a simplicial complex

Receipt and verification

First computed	2026-05-18T02:41:02.472300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe3ec9cc31aa1b8ecb1e355e714160e5b244e678aecf693afbf759fab931430

Aliases

arxiv: 1410.1217 · arxiv_version: 1410.1217v1 · doi: 10.48550/arxiv.1410.1217 · pith_short_12: 5PR6ZHGDDKQ3 · pith_short_16: 5PR6ZHGDDKQ3R3FR · pith_short_8: 5PR6ZHGD

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/5PR6ZHGDDKQ3R3FR4NK6OFAWBZ \
  | 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: ebe3ec9cc31aa1b8ecb1e355e714160e5b244e678aecf693afbf759fab931430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9408efce304cd89f84c854296598b8af1ac70a4606c722afe3caf69ff38fa3aa",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-05T22:33:08Z",
    "title_canon_sha256": "67d47fae6bc8418b13edbd929d516951f0604d6fa09851717ebc7a872486e456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1217",
    "kind": "arxiv",
    "version": 1
  }
}