Pith Number

pith:RJQ3B7CU

pith:2016:RJQ3B7CU3GD3GUU24SWW23J4GA

not attested not anchored not stored refs pending

Suspension of the Billiard maps in the Lazutkin's coordinate

Jianlu Zhang

arxiv:1610.00317 v1 · 2016-10-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJQ3B7CU3GD3GUU24SWW23J4GA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:03:25.779543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a61b0fc54d987b3529ae4ad6d6d3c302b08c28ea4fe0b40ebc873a2c701e4e6

Aliases

arxiv: 1610.00317 · arxiv_version: 1610.00317v1 · doi: 10.48550/arxiv.1610.00317 · pith_short_12: RJQ3B7CU3GD3 · pith_short_16: RJQ3B7CU3GD3GUU2 · pith_short_8: RJQ3B7CU

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/RJQ3B7CU3GD3GUU24SWW23J4GA \
  | 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: 8a61b0fc54d987b3529ae4ad6d6d3c302b08c28ea4fe0b40ebc873a2c701e4e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88e16398207df06f2c0cc5ea5fe7b53a7c8586e464892f9c17fea2eabffd05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-02T17:26:38Z",
    "title_canon_sha256": "68aa4fb7593b7925447c60933ca6070265d9706458c93c2dc8b1d114e1b49914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00317",
    "kind": "arxiv",
    "version": 1
  }
}