Pith Number

pith:JZ4DFH6P

pith:2006:JZ4DFH6POOEYYZOA5OENHLWUBF

not attested not anchored not stored refs pending

Homotopical Rotation Numbers of 2D Billiards

Lee M. Goswick, Nandor Simanyi

arxiv:math/0610350 v8 · 2006-10-11 · 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{JZ4DFH6POOEYYZOA5OENHLWUBF}

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	2026-05-18T04:42:23.290708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e78329fcf73898c65c0eb88d3aed4095f9a66e8fc2010ecf31c886c7f64ce98

Aliases

arxiv: math/0610350 · arxiv_version: math/0610350v8 · doi: 10.48550/arxiv.math/0610350 · pith_short_12: JZ4DFH6POOEY · pith_short_16: JZ4DFH6POOEYYZOA · pith_short_8: JZ4DFH6P

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/JZ4DFH6POOEYYZOA5OENHLWUBF \
  | 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: 4e78329fcf73898c65c0eb88d3aed4095f9a66e8fc2010ecf31c886c7f64ce98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14af3ca4986a2777477d379e2ea6d8bdff18c7ee44da24be13d31e894d4b07ab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-10-11T07:33:09Z",
    "title_canon_sha256": "457d5b81358a16afff03efe69707e39e7be0c7d085deada1de8913a38a2f0d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610350",
    "kind": "arxiv",
    "version": 8
  }
}