Pith Number

pith:4CTHD5V7

pith:2013:4CTHD5V7GJF7T5HTANDMS4FEFI

not attested not anchored not stored refs pending

A Fast and Practical Method to Estimate Volumes of Convex Polytopes

Cunjing Ge, Feifei Ma, Jian Zhang

arxiv:1401.0120 v1 · 2013-12-31 · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CTHD5V7GJF7T5HTANDMS4FEFI}

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	2026-05-18T03:03:30.981091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a671f6bf324bf9f4f30346c970a42a07459e60c708964555971b454e7a1c8e

Aliases

arxiv: 1401.0120 · arxiv_version: 1401.0120v1 · doi: 10.48550/arxiv.1401.0120 · pith_short_12: 4CTHD5V7GJF7 · pith_short_16: 4CTHD5V7GJF7T5HT · pith_short_8: 4CTHD5V7

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/4CTHD5V7GJF7T5HTANDMS4FEFI \
  | 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: e0a671f6bf324bf9f4f30346c970a42a07459e60c708964555971b454e7a1c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce1668c8a3aee10d7cbc15141154dda319af2046c4382f0861572bdd66738b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-12-31T09:54:14Z",
    "title_canon_sha256": "b8ed319c403a476d8975c8a6bc8bbd5b0507ed5f9df20eebbf6e98fd9d3bf375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0120",
    "kind": "arxiv",
    "version": 1
  }
}