Pith Number

pith:OGYGQ7W5

pith:2011:OGYGQ7W5DE5QMWCTKT2NWBC2P4

not attested not anchored not stored refs pending

On the vertex index of convex bodies

Alexander E. Litvak, Karoly Bezdek

arxiv:1110.4334 v1 · 2011-10-19 · 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{OGYGQ7W5DE5QMWCTKT2NWBC2P4}

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	2026-05-18T04:10:37.588439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b0687edd193b06585354f4db045a7f2021b1295c5d33de48ff5b14a82659fb

Aliases

arxiv: 1110.4334 · arxiv_version: 1110.4334v1 · doi: 10.48550/arxiv.1110.4334 · pith_short_12: OGYGQ7W5DE5Q · pith_short_16: OGYGQ7W5DE5QMWCT · pith_short_8: OGYGQ7W5

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/OGYGQ7W5DE5QMWCTKT2NWBC2P4 \
  | 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: 71b0687edd193b06585354f4db045a7f2021b1295c5d33de48ff5b14a82659fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534527d5a8a5dee4a79561fd879b7a5cbab48ba5ee9d46b763e1a49f4d034390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-19T16:38:52Z",
    "title_canon_sha256": "fa0b95a92b24195ae992a403941e82566ae897a898394763c994b375d9638b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4334",
    "kind": "arxiv",
    "version": 1
  }
}