Pith Number

pith:Q54DRQWQ

pith:2003:Q54DRQWQYNW6FBYNVOHIYHZSBX

not attested not anchored not stored refs pending

Periodic points of Hamiltonian surface diffeomorphisms

John Franks, Michael Handel

arxiv:math/0303296 v2 · 2003-03-24 · 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{Q54DRQWQYNW6FBYNVOHIYHZSBX}

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	2026-05-18T02:38:00.410611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877838c2d0c36de2870dab8e8c1f320ddfec6ad57e44c5f90185a0209f8a4c02

Aliases

arxiv: math/0303296 · arxiv_version: math/0303296v2 · doi: 10.48550/arxiv.math/0303296 · pith_short_12: Q54DRQWQYNW6 · pith_short_16: Q54DRQWQYNW6FBYN · pith_short_8: Q54DRQWQ

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/Q54DRQWQYNW6FBYNVOHIYHZSBX \
  | 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: 877838c2d0c36de2870dab8e8c1f320ddfec6ad57e44c5f90185a0209f8a4c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af14b508cadefb1686650ef6cd07c7148a13e0cb6bb9c5cd01a49aa023a9409d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-03-24T20:42:56Z",
    "title_canon_sha256": "2d46379693d962b6dbf4c2228f57fb50e871ab251b322dcd4388a1c033b6d41c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303296",
    "kind": "arxiv",
    "version": 2
  }
}