Pith Number

pith:V7D45FG3

pith:2012:V7D45FG3QQYTPWJ4FEKJFYTXBP

not attested not anchored not stored refs pending

Counting Minimal Surfaces in Quasi-Fuchsian three-Manifolds

Biao Wang, Zheng Huang

arxiv:1204.4944 v3 · 2012-04-22 · 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{V7D45FG3QQYTPWJ4FEKJFYTXBP}

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	2026-05-18T03:26:00.383108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc7ce94db843137d93c291492e2770be3e7f6b254fe1642299ef01597a06fab

Aliases

arxiv: 1204.4944 · arxiv_version: 1204.4944v3 · doi: 10.48550/arxiv.1204.4944 · pith_short_12: V7D45FG3QQYT · pith_short_16: V7D45FG3QQYTPWJ4 · pith_short_8: V7D45FG3

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/V7D45FG3QQYTPWJ4FEKJFYTXBP \
  | 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: afc7ce94db843137d93c291492e2770be3e7f6b254fe1642299ef01597a06fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2107c2865b388bc27016a9d7570cc95ab48dcb5391398715ce5562efbd05a00",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-22T22:10:21Z",
    "title_canon_sha256": "a2c14def4048141312084ddba3befd988a20fd5b95ab9037923ab769be7173c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4944",
    "kind": "arxiv",
    "version": 3
  }
}