Pith Number

pith:X3D66QQM

pith:2010:X3D66QQM2RECOC35Z5HJI44KST

not attested not anchored not stored refs pending

Convex Graph Invariants

Alan S. Willsky, Pablo A. Parrilo, Venkat Chandrasekaran

arxiv:1012.0623 v1 · 2010-12-03 · math.OC · cs.DM · 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{X3D66QQM2RECOC35Z5HJI44KST}

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	2026-05-18T03:45:12.697577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec7ef420cd448270b7dcf4e94738a94c7655a4ec0a814ef7adf51b3c924095e

Aliases

arxiv: 1012.0623 · arxiv_version: 1012.0623v1 · doi: 10.48550/arxiv.1012.0623 · pith_short_12: X3D66QQM2REC · pith_short_16: X3D66QQM2RECOC35 · pith_short_8: X3D66QQM

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/X3D66QQM2RECOC35Z5HJI44KST \
  | 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: bec7ef420cd448270b7dcf4e94738a94c7655a4ec0a814ef7adf51b3c924095e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2a9380d3ec13fbfa943753963123c5b8fac9bd3c023ac81c466553d6a9c3f5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-03T02:07:34Z",
    "title_canon_sha256": "1218a62005753e2b155124b63d8858877c9379bf6de26e66903db39958e5a15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0623",
    "kind": "arxiv",
    "version": 1
  }
}