Pith Number

pith:NCYCRQXX

pith:2002:NCYCRQXXMYTLGRGL2CFCDOT2AJ

not attested not anchored not stored refs pending

Area preserving group actions on surfaces

John Franks, Michael Handel

arxiv:math/0203159 v3 · 2002-03-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCYCRQXXMYTLGRGL2CFCDOT2AJ}

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	2026-05-18T02:38:00.684165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b028c2f76626b344cbd08a21ba7a0272e140a225f7f17c63fc0e94940954cc

Aliases

arxiv: math/0203159 · arxiv_version: math/0203159v3 · doi: 10.48550/arxiv.math/0203159 · pith_short_12: NCYCRQXXMYTL · pith_short_16: NCYCRQXXMYTLGRGL · pith_short_8: NCYCRQXX

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/NCYCRQXXMYTLGRGL2CFCDOT2AJ \
  | 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: 68b028c2f76626b344cbd08a21ba7a0272e140a225f7f17c63fc0e94940954cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aee1e88b191af32e0a0cb2169d4393804454867b5e7134b6fc6e434223496dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2002-03-15T17:04:31Z",
    "title_canon_sha256": "37d83757b1585872a04d4648570ac857ac6389ec9eccd2f3a78fac1fa06490b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203159",
    "kind": "arxiv",
    "version": 3
  }
}