Pith Number

pith:R3PJHYNH

pith:2011:R3PJHYNHRUT62HVRHQCEQW2SGF

not attested not anchored not stored refs pending

Counting of Sieber-Richter pairs of periodic orbits

Boris Gutkin, Vladimir Al. Osipov

arxiv:1109.3329 v1 · 2011-09-15 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3PJHYNHRUT62HVRHQCEQW2SGF}

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	2026-05-18T04:12:56.935983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ede93e1a78d27ed1eb13c04485b523152546b6f17aabbd55ef85022212da1d6

Aliases

arxiv: 1109.3329 · arxiv_version: 1109.3329v1 · doi: 10.48550/arxiv.1109.3329 · pith_short_12: R3PJHYNHRUT6 · pith_short_16: R3PJHYNHRUT62HVR · pith_short_8: R3PJHYNH

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/R3PJHYNHRUT62HVRHQCEQW2SGF \
  | 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: 8ede93e1a78d27ed1eb13c04485b523152546b6f17aabbd55ef85022212da1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854b843184aba1447dd788931dfdac5acf57645255574409f52eeb99fed802b2",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-15T12:07:31Z",
    "title_canon_sha256": "e97dfb1c1b21d730a9fb9847abecde28578395bf36f35bf0604850e5a34f5135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3329",
    "kind": "arxiv",
    "version": 1
  }
}