Pith Number

pith:SICJSMIK

pith:2010:SICJSMIKTXH7GE3A5G7T65L6LI

not attested not anchored not stored refs pending

Entropy zero area preserving diffeomorphisms of $S^2$

John Franks, Michael Handel

arxiv:1002.0318 v3 · 2010-02-01 · 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{SICJSMIKTXH7GE3A5G7T65L6LI}

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	2026-05-18T02:38:18.633157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

920499310a9dcff31360e9bf3f757e5a01697708b0e51a165ee34e1b3ecb4bd1

Aliases

arxiv: 1002.0318 · arxiv_version: 1002.0318v3 · doi: 10.48550/arxiv.1002.0318 · pith_short_12: SICJSMIKTXH7 · pith_short_16: SICJSMIKTXH7GE3A · pith_short_8: SICJSMIK

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/SICJSMIKTXH7GE3A5G7T65L6LI \
  | 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: 920499310a9dcff31360e9bf3f757e5a01697708b0e51a165ee34e1b3ecb4bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a115b2e2d175605dd212c454f6e921fc47668475e00492f3f3a902a73aeb428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-02-01T19:56:01Z",
    "title_canon_sha256": "6033db08bd1d060eb0b4c7d19383831b38c80b6d5247fc245e5d7b4bb6dab503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0318",
    "kind": "arxiv",
    "version": 3
  }
}