Pith Number

pith:QJP2JED2

pith:2012:QJP2JED2ELS2GP42AH5AAZMMB2

not attested not anchored not stored refs pending

Global Singularity Theory for the Gauss Curvature Equation

Graham Smith

arxiv:1206.5544 v2 · 2012-06-24 · 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{QJP2JED2ELS2GP42AH5AAZMMB2}

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	2026-05-18T01:59:53.787487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825fa4907a22e5a33f9a01fa00658c0eaaf91f2bd9e60b0259b0fdbee04e6230

Aliases

arxiv: 1206.5544 · arxiv_version: 1206.5544v2 · doi: 10.48550/arxiv.1206.5544 · pith_short_12: QJP2JED2ELS2 · pith_short_16: QJP2JED2ELS2GP42 · pith_short_8: QJP2JED2

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/QJP2JED2ELS2GP42AH5AAZMMB2 \
  | 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: 825fa4907a22e5a33f9a01fa00658c0eaaf91f2bd9e60b0259b0fdbee04e6230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c612fd22371b9c2121895c342c4459bf3badc62dc3b616a23148fd685619aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-24T21:48:36Z",
    "title_canon_sha256": "66586aff8780bc685e97fa10424ed9f9ca5ca320c7ca4cb5f2bd33a69c2c8a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5544",
    "kind": "arxiv",
    "version": 2
  }
}