Pith Number

pith:I5HVNGJO

pith:2011:I5HVNGJOT7FB7WF4ACHGWFLY7S

not attested not anchored not stored refs pending

Notes about the Caratheodory number

Imre Barany, Roman Karasev

arxiv:1112.5942 v1 · 2011-12-27 · math.MG · 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{I5HVNGJOT7FB7WF4ACHGWFLY7S}

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	2026-05-18T03:37:53.155119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474f56992e9fca1fd8bc008e6b1578fcbedd46431d795cfec1a2a01e250f638f

Aliases

arxiv: 1112.5942 · arxiv_version: 1112.5942v1 · doi: 10.48550/arxiv.1112.5942 · pith_short_12: I5HVNGJOT7FB · pith_short_16: I5HVNGJOT7FB7WF4 · pith_short_8: I5HVNGJO

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/I5HVNGJOT7FB7WF4ACHGWFLY7S \
  | 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: 474f56992e9fca1fd8bc008e6b1578fcbedd46431d795cfec1a2a01e250f638f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb6f61d269780fa689a5ceb498787c1ed33417d1101a62a290e564c00ebf639",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-12-27T09:26:34Z",
    "title_canon_sha256": "5aff50f36c50979e1e7e9f7c0f19c3b2cbfd56d0c9660b7197c807765dfe1d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5942",
    "kind": "arxiv",
    "version": 1
  }
}