Pith Number

pith:QW6JLEOB

pith:2011:QW6JLEOBIAGMEA6JHCEK775CDN

not attested not anchored not stored refs pending

The Gram dimension of a graph

Antonios Varvitsiotis, Monique Laurent

arxiv:1112.5960 v2 · 2011-12-27 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QW6JLEOBIAGMEA6JHCEK775CDN}

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	2026-05-18T03:58:39.433619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85bc9591c1400cc203c93888afffa21b693f7e143364baedfbf6a1256240fd0e

Aliases

arxiv: 1112.5960 · arxiv_version: 1112.5960v2 · doi: 10.48550/arxiv.1112.5960 · pith_short_12: QW6JLEOBIAGM · pith_short_16: QW6JLEOBIAGMEA6J · pith_short_8: QW6JLEOB

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/QW6JLEOBIAGMEA6JHCEK775CDN \
  | 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: 85bc9591c1400cc203c93888afffa21b693f7e143364baedfbf6a1256240fd0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c7ab72f60b9e3cadcf45d1386a5d3bc2d3e3f3ed08b862d2f202d5f57b0722",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-27T13:50:38Z",
    "title_canon_sha256": "1fe81985f2da8f452c8b980cd44839dbcd0e13a8dd1a834bd94f4fec51ceb80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5960",
    "kind": "arxiv",
    "version": 2
  }
}