Pith Number

pith:GTZX74SP

pith:2024:GTZX74SPXD3C4S77GZRTFKRO44

not attested not anchored not stored refs pending

Generic density of periodic orbits of area-preserving maps on punctured surfaces

Shaoyang Zhou

arxiv:2411.15429 v1 · 2024-11-23 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTZX74SPXD3C4S77GZRTFKRO44}

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	2026-07-05T09:39:34.609680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f37ff24fb8f62e4bff366332aa2ee70b1bd0994d52ab23cebc5c8a842a254e

Aliases

arxiv: 2411.15429 · arxiv_version: 2411.15429v1 · doi: 10.48550/arxiv.2411.15429 · pith_short_12: GTZX74SPXD3C · pith_short_16: GTZX74SPXD3C4S77 · pith_short_8: GTZX74SP

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/GTZX74SPXD3C4S77GZRTFKRO44 \
  | 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: 34f37ff24fb8f62e4bff366332aa2ee70b1bd0994d52ab23cebc5c8a842a254e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba9493ea00d213b396833505df067eb17caa87ed4865bd80fc0515f3ff3b256",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-23T03:13:59Z",
    "title_canon_sha256": "ce69e7abff6d2f865399184c337b3e1153ccb8d69143991126e5a386c090d9fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15429",
    "kind": "arxiv",
    "version": 1
  }
}