Pith Number

pith:UUXPTEJI

pith:2013:UUXPTEJIQWNEZGUZKC4XI4SJAI

not attested not anchored not stored refs pending

The Hirsch conjecture holds for normal flag complexes

Bruno Benedetti, Karim Alexander Adiprasito

arxiv:1303.3598 v3 · 2013-03-14 · math.CO · math.MG · 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{UUXPTEJIQWNEZGUZKC4XI4SJAI}

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	2026-05-18T02:54:22.445815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52ef99128859a4c9a9950b9747249020fa2300e70b633db2d14cef239ed1d48

Aliases

arxiv: 1303.3598 · arxiv_version: 1303.3598v3 · doi: 10.48550/arxiv.1303.3598 · pith_short_12: UUXPTEJIQWNE · pith_short_16: UUXPTEJIQWNEZGUZ · pith_short_8: UUXPTEJI

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/UUXPTEJIQWNEZGUZKC4XI4SJAI \
  | 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: a52ef99128859a4c9a9950b9747249020fa2300e70b633db2d14cef239ed1d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab2446cbb8eef90a7e1f51d78b4abb19d40f10b2dcd2a1423498a9d882cf9b6",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-14T20:42:31Z",
    "title_canon_sha256": "d49428fb033eca8936df3e90a224a1291e52ce9d632d9bff614df332044ce5b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3598",
    "kind": "arxiv",
    "version": 3
  }
}