Pith Number

pith:T2M5WSO4

pith:2013:T2M5WSO4X4IZN6LIDHG2Z6KY4W

not attested not anchored not stored refs pending

Unimodular triangulations of dilated 3-polytopes

Francisco Santos, G\"unter M. Ziegler

arxiv:1304.7296 v1 · 2013-04-26 · 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{T2M5WSO4X4IZN6LIDHG2Z6KY4W}

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	2026-05-18T02:41:26.287056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e99db49dcbf1196f96819cdacf958e5afc9bf6570c2c3c21e671a08263763f9

Aliases

arxiv: 1304.7296 · arxiv_version: 1304.7296v1 · doi: 10.48550/arxiv.1304.7296 · pith_short_12: T2M5WSO4X4IZ · pith_short_16: T2M5WSO4X4IZN6LI · pith_short_8: T2M5WSO4

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/T2M5WSO4X4IZN6LIDHG2Z6KY4W \
  | 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: 9e99db49dcbf1196f96819cdacf958e5afc9bf6570c2c3c21e671a08263763f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f99b3bec1b1463a92a03eb02e2097544bcafaf0ac042e960fefcd3142ee671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-26T22:19:37Z",
    "title_canon_sha256": "d67706883433eacd22782434eb0bd03a22e36b1c23033c9f53e7f4999d616f4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7296",
    "kind": "arxiv",
    "version": 1
  }
}