Pith Number

pith:ZNTZLT5C

pith:2001:ZNTZLT5CJK3U5Y54KS5BPAXVJK

not attested not anchored not stored refs pending

Bifurcations in one degree-of-vibration quantum billiards

Mason A. Porter, Richard L. Liboff

arxiv:nlin/0107053 v1 · 2001-07-23 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNTZLT5CJK3U5Y54KS5BPAXVJK}

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	2026-05-18T01:38:21.774444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6795cfa24ab74ee3bc54ba1782f54a9ab1d56c06db9a570a3fa307f95f8cbb

Aliases

arxiv: nlin/0107053 · arxiv_version: nlin/0107053v1 · doi: 10.48550/arxiv.nlin/0107053 · pith_short_12: ZNTZLT5CJK3U · pith_short_16: ZNTZLT5CJK3U5Y54 · pith_short_8: ZNTZLT5C

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/ZNTZLT5CJK3U5Y54KS5BPAXVJK \
  | 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: cb6795cfa24ab74ee3bc54ba1782f54a9ab1d56c06db9a570a3fa307f95f8cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584ee3bc88e0d7c39b9c42b849bef279dda28c7e222dfb32171e901def361932",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2001-07-23T16:34:04Z",
    "title_canon_sha256": "6f817077404af8c420bcc03fe58ba5eb341aeb1af86221f713843b2f8c33855d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0107053",
    "kind": "arxiv",
    "version": 1
  }
}