Pith Number

pith:5PY25RAT

pith:2013:5PY25RAT4JTVR36PASSHP7DKWT

not attested not anchored not stored refs pending

Cones over metric measure spaces and the maximal diameter theorem

Christian Ketterer

arxiv:1311.1307 v3 · 2013-11-06 · math.MG · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PY25RAT4JTVR36PASSHP7DKWT}

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	2026-05-18T02:40:47.406173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf1aec413e26758efcf04a477fc6ab4d54594e0ba1d7c99e7facc724c01a39a

Aliases

arxiv: 1311.1307 · arxiv_version: 1311.1307v3 · doi: 10.48550/arxiv.1311.1307 · pith_short_12: 5PY25RAT4JTV · pith_short_16: 5PY25RAT4JTVR36P · pith_short_8: 5PY25RAT

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/5PY25RAT4JTVR36PASSHP7DKWT \
  | 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: ebf1aec413e26758efcf04a477fc6ab4d54594e0ba1d7c99e7facc724c01a39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7456f414cbc0fa1eb32e3381641ccece2044ff125967590e665eec7745bbea",
    "cross_cats_sorted": [
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-11-06T08:16:16Z",
    "title_canon_sha256": "3d545eddd6bbf6ae76b09ec0fd56d793f0d60f8241bf6e95a84ac2cd190c4774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1307",
    "kind": "arxiv",
    "version": 3
  }
}