Pith Number

pith:M4ZC7HN7

pith:2013:M4ZC7HN7CZ56GWM5PWSNV42ANV

not attested not anchored not stored refs pending

New extensions for a theorem by Mocanu

Hitoshi Shiraishi, Shigeyoshi Owa

arxiv:1303.0513 v1 · 2013-03-03 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4ZC7HN7CZ56GWM5PWSNV42ANV}

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	2026-05-18T03:31:55.677446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67322f9dbf167be3599d7da4daf3406d78ff7ae5b1ba2331a74e40aaed32dfd5

Aliases

arxiv: 1303.0513 · arxiv_version: 1303.0513v1 · doi: 10.48550/arxiv.1303.0513 · pith_short_12: M4ZC7HN7CZ56 · pith_short_16: M4ZC7HN7CZ56GWM5 · pith_short_8: M4ZC7HN7

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/M4ZC7HN7CZ56GWM5PWSNV42ANV \
  | 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: 67322f9dbf167be3599d7da4daf3406d78ff7ae5b1ba2331a74e40aaed32dfd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3cc56c29fc599f2d05ebfbdd05947cbbd8ee1d1cbe5f423bb4ec3832ab5f78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-03T14:41:24Z",
    "title_canon_sha256": "8d88602b1fffb382421b2174ae3df2cc05acac8519bb8275d4f4aa40703c5159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0513",
    "kind": "arxiv",
    "version": 1
  }
}