Pith Number

pith:CIPNGR44

pith:2009:CIPNGR44NGNWQTE3EIX6EV7AOM

not attested not anchored not stored refs pending

Finite type invariants and fatgraphs

Alex James Bene, Jean-Baptiste Meilhan, Jorgen Ellegaard Andersen, R. C. Penner

arxiv:0907.2827 v1 · 2009-07-16 · 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{CIPNGR44NGNWQTE3EIX6EV7AOM}

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	2026-05-18T04:24:27.813910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121ed3479c699b684c9b222fe257e073147ef4ab7d8f63935f07e192ffed91d3

Aliases

arxiv: 0907.2827 · arxiv_version: 0907.2827v1 · doi: 10.48550/arxiv.0907.2827 · pith_short_12: CIPNGR44NGNW · pith_short_16: CIPNGR44NGNWQTE3 · pith_short_8: CIPNGR44

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/CIPNGR44NGNWQTE3EIX6EV7AOM \
  | 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: 121ed3479c699b684c9b222fe257e073147ef4ab7d8f63935f07e192ffed91d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d2fc0cf1762cde0e6bf90c9e9d5471861b192fd490dbfdff8b7512ece0574b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-16T13:06:56Z",
    "title_canon_sha256": "0e1fefee5f20c6caadaf7f6731946d794276e2c099f2c38c80d1b0219568a7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2827",
    "kind": "arxiv",
    "version": 1
  }
}