Pith Number

pith:MCV4TL64

pith:2013:MCV4TL647C47ORR76RU4K2MHVK

not attested not anchored not stored refs pending

A point in a $nd$-Polytope is the barycenter of $n$ points in its $d$-faces

Michael Gene Dobbins

arxiv:1312.4411 v3 · 2013-12-16 · 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{MCV4TL647C47ORR76RU4K2MHVK}

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	2026-05-18T02:50:24.210128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60abc9afdcf8b9f7463ff469c56987aab4c18d50f0cd42d9b89db1a0103360c8

Aliases

arxiv: 1312.4411 · arxiv_version: 1312.4411v3 · doi: 10.48550/arxiv.1312.4411 · pith_short_12: MCV4TL647C47 · pith_short_16: MCV4TL647C47ORR7 · pith_short_8: MCV4TL64

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/MCV4TL647C47ORR76RU4K2MHVK \
  | 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: 60abc9afdcf8b9f7463ff469c56987aab4c18d50f0cd42d9b89db1a0103360c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb87da352c54786c9bf737eff4a737ea24e18c5d1296707d7c3644820c9c525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-16T15:53:03Z",
    "title_canon_sha256": "03dc1389a366c95e8bce177e70c3be2ef3bbd4554bd0d05591a0d8fb6e7986d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4411",
    "kind": "arxiv",
    "version": 3
  }
}