Pith Number

pith:L7WUPS6P

pith:2003:L7WUPS6PNKSUTQNJI4IU5N7LGR

not attested not anchored not stored refs pending

Cell decomposition and compactification of Riemann's moduli space in decorated Teichm\"uller theory

R. C. Penner

arxiv:math/0306190 v2 · 2003-06-11 · math.GT · 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{L7WUPS6PNKSUTQNJI4IU5N7LGR}

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	2026-07-04T14:37:31.346901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fed47cbcf6aa549c1a947114eb7eb34682cc43d6dd65b34ba3f877de8ca6685

Aliases

arxiv: math/0306190 · arxiv_version: math/0306190v2 · doi: 10.48550/arxiv.math/0306190 · pith_short_12: L7WUPS6PNKSU · pith_short_16: L7WUPS6PNKSUTQNJ · pith_short_8: L7WUPS6P

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/L7WUPS6PNKSUTQNJI4IU5N7LGR \
  | 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: 5fed47cbcf6aa549c1a947114eb7eb34682cc43d6dd65b34ba3f877de8ca6685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717d13fd3395b71dbf1b1866f1b45570327c0dfd29ab221efb273e7acdd435b0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-06-11T18:55:46Z",
    "title_canon_sha256": "6b7abe9caf72b97d284656410b369a47299d1245b96d1554fa4953be2a5d6ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306190",
    "kind": "arxiv",
    "version": 2
  }
}