Pith Number

pith:RCFYLAPJ

pith:2002:RCFYLAPJO4M6NZGB24W3NPR56S

not attested not anchored not stored refs pending

Decorated Teichm\"uller Theory of Bordered Surfaces

R. C. Penner

arxiv:math/0210326 v2 · 2002-10-21 · 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{RCFYLAPJO4M6NZGB24W3NPR56S}

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	2026-07-04T14:36:39.658213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

888b8581e97719e6e4c1d72db6be3df487ff932c909624c6b0c41993f44b3aa6

Aliases

arxiv: math/0210326 · arxiv_version: math/0210326v2 · doi: 10.48550/arxiv.math/0210326 · pith_short_12: RCFYLAPJO4M6 · pith_short_16: RCFYLAPJO4M6NZGB · pith_short_8: RCFYLAPJ

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/RCFYLAPJO4M6NZGB24W3NPR56S \
  | 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: 888b8581e97719e6e4c1d72db6be3df487ff932c909624c6b0c41993f44b3aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25ed194e896864f102e8ec3e9fc47db96bf0709bcf488ef6fcebc602fc7466e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-10-21T17:27:05Z",
    "title_canon_sha256": "e25cceb6b787adede5e2a28c6b55a7025fec9453701859bb58128c4f126313e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210326",
    "kind": "arxiv",
    "version": 2
  }
}