Pith Number

pith:6BO7KIEP

pith:1997:6BO7KIEPOXGKI36AOKTBSXYIOQ

not attested not anchored not stored refs pending

Localization in a rough billiard: A sigma model formulation

Klaus M. Frahm

arxiv:cond-mat/9702145 v1 · 1997-02-15 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BO7KIEPOXGKI36AOKTBSXYIOQ}

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	2026-05-18T01:07:08.575496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f05df5208f75cca46fc072a6195f087427def4a903cd0dfa6b75ee40119aae47

Aliases

arxiv: cond-mat/9702145 · arxiv_version: cond-mat/9702145v1 · doi: 10.48550/arxiv.cond-mat/9702145 · pith_short_12: 6BO7KIEPOXGK · pith_short_16: 6BO7KIEPOXGKI36A · pith_short_8: 6BO7KIEP

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/6BO7KIEPOXGKI36AOKTBSXYIOQ \
  | 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: f05df5208f75cca46fc072a6195f087427def4a903cd0dfa6b75ee40119aae47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983d531591e60cc50b0c5c1e3a5c946d1afcad1a87b41da44823a3565451be19",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1997-02-15T17:19:27Z",
    "title_canon_sha256": "8a6c081d46e687610ae9d971401b64fc1ca8353355e95bd7c90065a17f672328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9702145",
    "kind": "arxiv",
    "version": 1
  }
}