Pith Number

pith:OIIQO3T4

pith:2001:OIIQO3T4AJX2D5PQGLQDKF7MW4

not attested not anchored not stored refs pending

The Radially Vibrating Spherical Quantum Billiard

Mason A. Porter, Richard L. Liboff

arxiv:nlin/0107055 v1 · 2001-07-24 · 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{OIIQO3T4AJX2D5PQGLQDKF7MW4}

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	2026-07-04T14:41:39.746061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7211076e7c026fa1f5f032e03517ecb722c0b74ecf6a5ec5617a2f53cdb55e93

Aliases

arxiv: nlin/0107055 · arxiv_version: nlin/0107055v1 · doi: 10.48550/arxiv.nlin/0107055 · pith_short_12: OIIQO3T4AJX2 · pith_short_16: OIIQO3T4AJX2D5PQ · pith_short_8: OIIQO3T4

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/OIIQO3T4AJX2D5PQGLQDKF7MW4 \
  | 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: 7211076e7c026fa1f5f032e03517ecb722c0b74ecf6a5ec5617a2f53cdb55e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245b3612b425e6b014cbf7a36f40f0892dfeb29a4bd5a67ff230c35dbb5c384c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2001-07-24T16:55:24Z",
    "title_canon_sha256": "059ec7684d53253197c457a106c633da92beec3eb84fb5db3a2bbf107ac80653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0107055",
    "kind": "arxiv",
    "version": 1
  }
}