Pith Number

pith:QNJ2P2CN

pith:2012:QNJ2P2CN4Q2EXDFTF5DUPMBYBH

not attested not anchored not stored refs pending

A Helly-type theorem for semi-monotone sets and monotone maps

Andrei Gabrielov, Nicolai Vorobjov, Saugata Basu

arxiv:1202.1198 v2 · 2012-02-06 · math.LO · math.AG · 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{QNJ2P2CN4Q2EXDFTF5DUPMBYBH}

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	2026-05-18T03:15:45.520605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8353a7e84de4344b8cb32f4747b03809df014a88fd831bd54bd4bf40f246cadc

Aliases

arxiv: 1202.1198 · arxiv_version: 1202.1198v2 · doi: 10.48550/arxiv.1202.1198 · pith_short_12: QNJ2P2CN4Q2E · pith_short_16: QNJ2P2CN4Q2EXDFT · pith_short_8: QNJ2P2CN

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/QNJ2P2CN4Q2EXDFTF5DUPMBYBH \
  | 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: 8353a7e84de4344b8cb32f4747b03809df014a88fd831bd54bd4bf40f246cadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f9da282882b59b7c55082dacf0aceb87ffcfc11832508859bce6b06c44ec138",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-02-06T16:42:14Z",
    "title_canon_sha256": "aed13929c1d04147368a0294270f74c104cf6558418a43747f99c4b25e4d730a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1198",
    "kind": "arxiv",
    "version": 2
  }
}