Pith Number

pith:GQCXMBSY

pith:2011:GQCXMBSYO52DKO6YYQ5RKV4K2V

not attested not anchored not stored refs pending

Geometrization of Three-Dimensional Orbifolds via Ricci Flow

Bruce Kleiner, John Lott

arxiv:1101.3733 v3 · 2011-01-19 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQCXMBSYO52DKO6YYQ5RKV4K2V}

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	2026-05-18T02:50:32.697460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34057606587774353bd8c43b15578ad544b769828dea5622e4b6789f418103dc

Aliases

arxiv: 1101.3733 · arxiv_version: 1101.3733v3 · doi: 10.48550/arxiv.1101.3733 · pith_short_12: GQCXMBSYO52D · pith_short_16: GQCXMBSYO52DKO6Y · pith_short_8: GQCXMBSY

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/GQCXMBSYO52DKO6YYQ5RKV4K2V \
  | 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: 34057606587774353bd8c43b15578ad544b769828dea5622e4b6789f418103dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8a725f9389f786c9bc3afe6486ccbbe25c64c871bb02e8c66f3e42ec697f33",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-19T16:38:07Z",
    "title_canon_sha256": "2009866a197128a78b504e704bcbd15eeda7c67117312c62299e6d0be36dbde1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3733",
    "kind": "arxiv",
    "version": 3
  }
}