Pith Number

pith:PD4ZUQV4

pith:2012:PD4ZUQV4X4VR7S66J43XXKOBVU

not attested not anchored not stored refs pending

The Bloch Principle

Michael McQuillan

arxiv:1209.5402 v1 · 2012-09-24 · math.CV · 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{PD4ZUQV4X4VR7S66J43XXKOBVU}

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	2026-05-18T03:44:48.630825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f99a42bcbf2b1fcbde4f377ba9c1ad1bcf62df242005ca14cd5f717837e223

Aliases

arxiv: 1209.5402 · arxiv_version: 1209.5402v1 · doi: 10.48550/arxiv.1209.5402 · pith_short_12: PD4ZUQV4X4VR · pith_short_16: PD4ZUQV4X4VR7S66 · pith_short_8: PD4ZUQV4

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/PD4ZUQV4X4VR7S66J43XXKOBVU \
  | 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: 78f99a42bcbf2b1fcbde4f377ba9c1ad1bcf62df242005ca14cd5f717837e223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce532a8deeffc6a0cd651c6886e68394b8f83109ec73e87e9f6af41b7fe0157",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-24T20:02:12Z",
    "title_canon_sha256": "c1a1bafbbe2f2d4287bfee2a1ad33606614e07940135190d7791c828e11046df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5402",
    "kind": "arxiv",
    "version": 1
  }
}