Pith Number

pith:ZOUXIMHS

pith:2009:ZOUXIMHS5AYBQZ4AB6ZCFVA3CA

not attested not anchored not stored refs pending

Quasi-Fuchsian 3-Manifolds and Metrics on Teichm\"{u}ller Space

Biao Wang, Ren Guo, Zheng Huang

arxiv:0909.2426 v2 · 2009-09-13 · 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{ZOUXIMHS5AYBQZ4AB6ZCFVA3CA}

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	2026-05-18T04:32:34.120237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba97430f2e8301867800fb222d41b103296eaecc770d4d21cba199c1f3c817e

Aliases

arxiv: 0909.2426 · arxiv_version: 0909.2426v2 · doi: 10.48550/arxiv.0909.2426 · pith_short_12: ZOUXIMHS5AYB · pith_short_16: ZOUXIMHS5AYBQZ4A · pith_short_8: ZOUXIMHS

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/ZOUXIMHS5AYBQZ4AB6ZCFVA3CA \
  | 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: cba97430f2e8301867800fb222d41b103296eaecc770d4d21cba199c1f3c817e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78ede910e17afbfdb3589b5c411a7552117823e4f14d6ed542d7dc3184f5417",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-13T16:42:19Z",
    "title_canon_sha256": "3e4d5d4d5b00468cb3bf13a19608b4dbd088e7e2eecd8cb027d6e7abebfed278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2426",
    "kind": "arxiv",
    "version": 2
  }
}