Pith Number

pith:OHU3YICL

pith:2013:OHU3YICLG4QOBDPVQ6UNCJRHPD

not attested not anchored not stored refs pending

The infimum of the volumes of convex polytopes of any given facet areas is 0

A.D. Mednykh, E. Makai, G. Rote, Jr., N.V. Abrosimov, YU.G. Nikonorov

arxiv:1304.6579 v3 · 2013-04-24 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHU3YICLG4QOBDPVQ6UNCJRHPD}

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	2026-05-18T00:39:23.348229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e9bc204b3720e08df587a8d1262778c0511fd6433a194f66d34df25954a490

Aliases

arxiv: 1304.6579 · arxiv_version: 1304.6579v3 · doi: 10.48550/arxiv.1304.6579 · pith_short_12: OHU3YICLG4QO · pith_short_16: OHU3YICLG4QOBDPV · pith_short_8: OHU3YICL

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/OHU3YICLG4QOBDPVQ6UNCJRHPD \
  | 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: 71e9bc204b3720e08df587a8d1262778c0511fd6433a194f66d34df25954a490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d3ca1e72cce6012181f80592a0d9f8ffbe4ef5f9ed28e8122cb33611da406e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-24T13:28:24Z",
    "title_canon_sha256": "9b0c5b36a8a5aab5636a69bf4ff9cda69a4cf1332ea4b0de763a0fcedca8c2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6579",
    "kind": "arxiv",
    "version": 3
  }
}