Pith Number

pith:RMR75NDV

pith:2016:RMR75NDVUNOTANA5OCIMNODC5O

not attested not anchored not stored refs pending

Decay of correlations for billiards with flat points I: channel effect

Hong-Kun Zhang

arxiv:1605.06639 v1 · 2016-05-21 · 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{RMR75NDVUNOTANA5OCIMNODC5O}

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	2026-05-18T01:14:11.658620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b23feb475a35d30341d7090c6b862ebaf91dcbc9e05b40fdfb8f4d521114848

Aliases

arxiv: 1605.06639 · arxiv_version: 1605.06639v1 · doi: 10.48550/arxiv.1605.06639 · pith_short_12: RMR75NDVUNOT · pith_short_16: RMR75NDVUNOTANA5 · pith_short_8: RMR75NDV

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/RMR75NDVUNOTANA5OCIMNODC5O \
  | 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: 8b23feb475a35d30341d7090c6b862ebaf91dcbc9e05b40fdfb8f4d521114848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e27903be29e59d7fe319c743a14b41f9e97d5983c73b09f1bd8dd7650e0006e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-21T13:13:12Z",
    "title_canon_sha256": "061df74d877d3843baa84d1fe6ba0116ee27960e31e25a2d9b3155e3cbfe3830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06639",
    "kind": "arxiv",
    "version": 1
  }
}