Pith Number

pith:77BWU2KV

pith:2010:77BWU2KVPSDMYEG2UCOXYSXGU6

not attested not anchored not stored refs pending

Distribution of periods of closed trajectories in exponentially shrinking intervals

Luchezar Stoyanov, Vesselin Petkov

arxiv:1008.4308 v5 · 2010-08-25 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77BWU2KVPSDMYEG2UCOXYSXGU6}

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	2026-05-18T04:04:31.238331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc36a69557c86cc10daa09d7c4ae6a78567bb39cf96ca499f4667049f3bb4f5

Aliases

arxiv: 1008.4308 · arxiv_version: 1008.4308v5 · doi: 10.48550/arxiv.1008.4308 · pith_short_12: 77BWU2KVPSDM · pith_short_16: 77BWU2KVPSDMYEG2 · pith_short_8: 77BWU2KV

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/77BWU2KVPSDMYEG2UCOXYSXGU6 \
  | 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: ffc36a69557c86cc10daa09d7c4ae6a78567bb39cf96ca499f4667049f3bb4f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40b5c2f69302641e88e3d53e9ce7a0a4c789ea0d27a9c1954fc95a213b68116",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-25T16:12:45Z",
    "title_canon_sha256": "b43b79b4bb5b1d797d504fd472515cf948855d9f4e0765da854ec15c794766f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4308",
    "kind": "arxiv",
    "version": 5
  }
}