Pith Number

pith:52N2ZQ2Y

pith:2010:52N2ZQ2YE7PFYBKIL3ZFOSH3KQ

not attested not anchored not stored refs pending

From sheaves on P2 to a generalization of the Rademacher expansion

Jan Manschot, Kathrin Bringmann

arxiv:1006.0915 v2 · 2010-06-04 · math.NT · hep-th · 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{52N2ZQ2YE7PFYBKIL3ZFOSH3KQ}

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.

Cited by

1 paper in Pith

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-05-18T04:10:12.614576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9bacc35827de5c05485ef25748fb542bf76441b7b55413ca12acd992c574b7

Aliases

arxiv: 1006.0915 · arxiv_version: 1006.0915v2 · doi: 10.48550/arxiv.1006.0915 · pith_short_12: 52N2ZQ2YE7PF · pith_short_16: 52N2ZQ2YE7PFYBKI · pith_short_8: 52N2ZQ2Y

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/52N2ZQ2YE7PFYBKIL3ZFOSH3KQ \
  | 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: ee9bacc35827de5c05485ef25748fb542bf76441b7b55413ca12acd992c574b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94bda1f6eec0c131eef6b931856740d424510064f678222e17960cc5769d499d",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-04T14:55:55Z",
    "title_canon_sha256": "761d9cf6015bb22c98942bb4baf32034d68619c1e657a8545fbf9cbf3fc0df2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0915",
    "kind": "arxiv",
    "version": 2
  }
}