Pith Number

pith:MUBN7WFN

pith:2013:MUBN7WFN4XPPGE2BTTFZ2PYAZY

not attested not anchored not stored refs pending

On isolated log canonical centers

Chih-Chi Chou

arxiv:1304.4173 v1 · 2013-04-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUBN7WFN4XPPGE2BTTFZ2PYAZY}

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	2026-05-18T01:28:15.281385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6502dfd8ade5def313419ccb9d3f00ce27d0ecc0abf6f47927f598b4e1d6036e

Aliases

arxiv: 1304.4173 · arxiv_version: 1304.4173v1 · doi: 10.48550/arxiv.1304.4173 · pith_short_12: MUBN7WFN4XPP · pith_short_16: MUBN7WFN4XPPGE2B · pith_short_8: MUBN7WFN

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/MUBN7WFN4XPPGE2BTTFZ2PYAZY \
  | 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: 6502dfd8ade5def313419ccb9d3f00ce27d0ecc0abf6f47927f598b4e1d6036e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3416458cfa994c66c7ed2e07e921768935befbe818cc030d58c40157f90c10f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-15T17:09:25Z",
    "title_canon_sha256": "223a280d99fabd0c25b9aaee27596aa7dbd464610e888167fb415e6e3a575960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4173",
    "kind": "arxiv",
    "version": 1
  }
}