Pith Number

pith:XPRSRIJO

pith:2008:XPRSRIJOPKPYSHHVNV5ZCSRHEX

not attested not anchored not stored refs pending

Poisson structures on the Teichmueller space of hyperbolic surfaces with conical points

Gabriele Mondello

arxiv:0812.1602 v2 · 2008-12-09 · 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{XPRSRIJOPKPYSHHVNV5ZCSRHEX}

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	2026-05-18T01:21:40.998673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe328a12e7a9f891cf56d7b914a2725fdc64a670787b680c500c4eed5842834

Aliases

arxiv: 0812.1602 · arxiv_version: 0812.1602v2 · doi: 10.48550/arxiv.0812.1602 · pith_short_12: XPRSRIJOPKPY · pith_short_16: XPRSRIJOPKPYSHHV · pith_short_8: XPRSRIJO

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/XPRSRIJOPKPYSHHVNV5ZCSRHEX \
  | 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: bbe328a12e7a9f891cf56d7b914a2725fdc64a670787b680c500c4eed5842834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e87ced04b877e12850a1a9c5b6438577edfe2a9ee5474b2f6343f3f64c86c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-09T01:12:48Z",
    "title_canon_sha256": "27b8a8e6a0248e0111ecc16f56204cd9c5578e6b961a3bb6f63d503a0566dedf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1602",
    "kind": "arxiv",
    "version": 2
  }
}