Pith Number

pith:NS76YQDN

pith:2012:NS76YQDN73LWYREVTY3ONFKOLH

not attested not anchored not stored refs pending

Dispersing billiards with moving scatterers

Hongkun Zhang, Lai-Sang Young, Mikko Stenlund

arxiv:1210.0011 v4 · 2012-09-28 · 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{NS76YQDN73LWYREVTY3ONFKOLH}

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	2026-05-18T01:54:12.653546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cbfec406dfed76c44959e36e6954e59d775e82505f2d2c6f0073e30f97fe0a2

Aliases

arxiv: 1210.0011 · arxiv_version: 1210.0011v4 · doi: 10.48550/arxiv.1210.0011 · pith_short_12: NS76YQDN73LW · pith_short_16: NS76YQDN73LWYREV · pith_short_8: NS76YQDN

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/NS76YQDN73LWYREVTY3ONFKOLH \
  | 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: 6cbfec406dfed76c44959e36e6954e59d775e82505f2d2c6f0073e30f97fe0a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be2f23e5c537f6da958b53a79654329d21fb330489e7d4604d7feef25ecf885",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-28T20:00:01Z",
    "title_canon_sha256": "243fb2d50ec212246599650a1590d3afd87447ad6dcb60727532db9e468875e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0011",
    "kind": "arxiv",
    "version": 4
  }
}