Pith Number

pith:ZBPPPKEZ

pith:1995:ZBPPPKEZT32MLXNMJGNTPZRBMH

not attested not anchored not stored refs pending

Scale Anomaly and Quantum Chaos in the Billiards with Pointlike Scatterers

Takaomi Shigehara, Taksu Cheon

arxiv:hep-th/9512162 v1 · 1995-12-20 · hep-th · chao-dyn · nlin.CD · nucl-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBPPPKEZT32MLXNMJGNTPZRBMH}

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	2026-05-18T02:36:03.693203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85ef7a8999ef4c5ddac499b37e62161d5c51d98d09899bc8f45f7805acafbf8

Aliases

arxiv: hep-th/9512162 · arxiv_version: hep-th/9512162v1 · doi: 10.48550/arxiv.hep-th/9512162 · pith_short_12: ZBPPPKEZT32M · pith_short_16: ZBPPPKEZT32MLXNM · pith_short_8: ZBPPPKEZ

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/ZBPPPKEZT32MLXNMJGNTPZRBMH \
  | 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: c85ef7a8999ef4c5ddac499b37e62161d5c51d98d09899bc8f45f7805acafbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e05979076de2f8651fc3f93debb7d4f64960f8cc7a8957f1c661ef708897f7",
    "cross_cats_sorted": [
      "chao-dyn",
      "nlin.CD",
      "nucl-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-12-20T12:57:40Z",
    "title_canon_sha256": "f610d116e5fbe31f12df5204748d492ddf3d4f2257553459f8956db48699dece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9512162",
    "kind": "arxiv",
    "version": 1
  }
}