Pith Number

pith:JY32DM5A

pith:2012:JY32DM5AWZ5AT5PGKC5TXJ2X7Z

not attested not anchored not stored refs pending

(1 + d/dz)^(-1)

Daniel Panazzolo, Michael McQuillan

arxiv:1203.3045 v2 · 2012-03-14 · math.AG · math.AP · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY32DM5AWZ5AT5PGKC5TXJ2X7Z}

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	2026-05-18T01:03:31.351384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e37a1b3a0b67a09f5e650bb3ba757fe62016610c3a521bbf248895cba214b89

Aliases

arxiv: 1203.3045 · arxiv_version: 1203.3045v2 · doi: 10.48550/arxiv.1203.3045 · pith_short_12: JY32DM5AWZ5A · pith_short_16: JY32DM5AWZ5AT5PG · pith_short_8: JY32DM5A

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/JY32DM5AWZ5AT5PGKC5TXJ2X7Z \
  | 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: 4e37a1b3a0b67a09f5e650bb3ba757fe62016610c3a521bbf248895cba214b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7204530d97b4e1540c304117377467943c423ee2d08b78652ff962b9fcd9e3e2",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-14T10:53:44Z",
    "title_canon_sha256": "35cf4722d9e15d5c6a34cfefb0f9ab733d77b6e2a6388ed5dbc6b5789a1e0800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3045",
    "kind": "arxiv",
    "version": 2
  }
}