Pith Number

pith:ADXNUUAC

pith:2008:ADXNUUACF5UWVL7XEKVFSSCEE5

not attested not anchored not stored refs pending

Teichmuller geometry of moduli space, II: M(S) seen from far away

Benson Farb, Howard Masur

arxiv:0807.1876 v2 · 2008-07-11 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADXNUUACF5UWVL7XEKVFSSCEE5}

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	2026-05-18T02:48:53.664443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00eeda50022f696aaff722aa5948442765c9203cac163aa1101d6ace5e646f41

Aliases

arxiv: 0807.1876 · arxiv_version: 0807.1876v2 · doi: 10.48550/arxiv.0807.1876 · pith_short_12: ADXNUUACF5UW · pith_short_16: ADXNUUACF5UWVL7X · pith_short_8: ADXNUUAC

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/ADXNUUACF5UWVL7XEKVFSSCEE5 \
  | 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: 00eeda50022f696aaff722aa5948442765c9203cac163aa1101d6ace5e646f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0053b1c0aff5215c2992088b1c6d8facaa01647c0d6b3cb1ab3f5567968d10e8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-07-11T15:51:09Z",
    "title_canon_sha256": "de151355c6acd019d4df364f0626189dfae253ef75abb7ba97f71183850b4396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1876",
    "kind": "arxiv",
    "version": 2
  }
}