Pith Number

pith:K5CSES2U

pith:2016:K5CSES2UXSNM3WE52RUYY4LSAO

not attested not anchored not stored refs pending

Decay of correlations for billiards with flat points II: cusps effect

Hong-Kun Zhang

arxiv:1605.07714 v3 · 2016-05-25 · 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{K5CSES2UXSNM3WE52RUYY4LSAO}

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	2026-05-18T00:56:06.347809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5745224b54bc9acdd89dd4698c7172039337d0b95b99f294d91379b61596517f

Aliases

arxiv: 1605.07714 · arxiv_version: 1605.07714v3 · doi: 10.48550/arxiv.1605.07714 · pith_short_12: K5CSES2UXSNM · pith_short_16: K5CSES2UXSNM3WE5 · pith_short_8: K5CSES2U

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/K5CSES2UXSNM3WE52RUYY4LSAO \
  | 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: 5745224b54bc9acdd89dd4698c7172039337d0b95b99f294d91379b61596517f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8c03c41905b42f2632d8561ea892d43f009d931dc68f00e762aae14c2b25c1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-25T03:19:14Z",
    "title_canon_sha256": "fceba1e600ec4fccfa0f2cad1674f46b8dd066fa32130947e76304086b31335e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07714",
    "kind": "arxiv",
    "version": 3
  }
}