Pith Number

pith:PPRRQ6SO

pith:2012:PPRRQ6SODY53XW6BZWNKBK3HGA

not attested not anchored not stored refs pending

Curvature, Cones, and Characteristic Numbers

Claude LeBrun, Michael Atiyah

arxiv:1203.6389 v1 · 2012-03-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPRRQ6SODY53XW6BZWNKBK3HGA}

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	2026-05-18T00:44:30.441717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be3187a4e1e3bbbdbc1cd9aa0ab6730384c079921c9d7d401a9ef0da462c572

Aliases

arxiv: 1203.6389 · arxiv_version: 1203.6389v1 · doi: 10.48550/arxiv.1203.6389 · pith_short_12: PPRRQ6SODY53 · pith_short_16: PPRRQ6SODY53XW6B · pith_short_8: PPRRQ6SO

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/PPRRQ6SODY53XW6BZWNKBK3HGA \
  | 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: 7be3187a4e1e3bbbdbc1cd9aa0ab6730384c079921c9d7d401a9ef0da462c572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9586ea09c5881926b6ab4f9fc0e7a1ab8dac60a1e0136195d9521d2cbdadb350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-28T21:54:38Z",
    "title_canon_sha256": "b8ceaf3ff442ce743f4dbf0ea9bab8f9b187910fb875b9a11e260d7306658869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6389",
    "kind": "arxiv",
    "version": 1
  }
}