Pith Number

pith:P7ZUS4EX

pith:2011:P7ZUS4EXXRM3TQVYW6IPKJDKTM

not attested not anchored not stored refs pending

Unimodality questions for integrally closed lattice polytopes

Jan Schepers, Leen Van Langenhoven

arxiv:1110.3724 v1 · 2011-10-17 · 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{P7ZUS4EXXRM3TQVYW6IPKJDKTM}

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	2026-05-18T04:10:48.622058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff3497097bc59b9c2b8b790f5246a9b0909ee00da0a9e8cb282a7e702e62a84

Aliases

arxiv: 1110.3724 · arxiv_version: 1110.3724v1 · doi: 10.48550/arxiv.1110.3724 · pith_short_12: P7ZUS4EXXRM3 · pith_short_16: P7ZUS4EXXRM3TQVY · pith_short_8: P7ZUS4EX

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/P7ZUS4EXXRM3TQVYW6IPKJDKTM \
  | 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: 7ff3497097bc59b9c2b8b790f5246a9b0909ee00da0a9e8cb282a7e702e62a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c64735697e7738e8bc8116ea0900d744114198e802c324156b3e7b141f29b67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-17T16:35:11Z",
    "title_canon_sha256": "51f5eb02801f6a6db64ab5339df1be9cc2d8663812287722144225eb3720aba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3724",
    "kind": "arxiv",
    "version": 1
  }
}