Pith Number

pith:X5JHBRXY

pith:2013:X5JHBRXY5JKDWMDH6PXOFQ4ZNE

not attested not anchored not stored refs pending

Cone-volume measures of polytopes

Eva Linke, Martin Henk

arxiv:1305.5335 v2 · 2013-05-23 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5JHBRXY5JKDWMDH6PXOFQ4ZNE}

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	2026-05-18T03:06:05.606472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5270c6f8ea543b3067f3eee2c399692048c85121496c23d0e0172b63a498db

Aliases

arxiv: 1305.5335 · arxiv_version: 1305.5335v2 · doi: 10.48550/arxiv.1305.5335 · pith_short_12: X5JHBRXY5JKD · pith_short_16: X5JHBRXY5JKDWMDH · pith_short_8: X5JHBRXY

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/X5JHBRXY5JKDWMDH6PXOFQ4ZNE \
  | 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: bf5270c6f8ea543b3067f3eee2c399692048c85121496c23d0e0172b63a498db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535b699231ded6e91bde4d18682d2c96fdb3dfd0898a9449cf547f4a303e2695",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-05-23T07:20:55Z",
    "title_canon_sha256": "5e4db50a3bb0a341e74dc1b9d1c300f7c3d9df9684140954b76d31e1dec37f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5335",
    "kind": "arxiv",
    "version": 2
  }
}