Pith Number

pith:2APNL42X

pith:2000:2APNL42X22VPRFJ45G7HFFPHLE

not attested not anchored not stored refs pending

Bubble Nuclei, Neutron Stars and Quantum Billiards

Aurel Bulgac, Piotr Magierski

arxiv:nucl-th/0009026 v2 · 2000-09-08 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2APNL42X22VPRFJ45G7HFFPHLE}

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	2026-05-18T00:36:53.144346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01ed5f357d6aaf8953ce9be7295e7593a797047603cb5e5bb7d0038677bb616

Aliases

arxiv: nucl-th/0009026 · arxiv_version: nucl-th/0009026v2 · doi: 10.48550/arxiv.nucl-th/0009026 · pith_short_12: 2APNL42X22VP · pith_short_16: 2APNL42X22VPRFJ4 · pith_short_8: 2APNL42X

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/2APNL42X22VPRFJ45G7HFFPHLE \
  | 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: d01ed5f357d6aaf8953ce9be7295e7593a797047603cb5e5bb7d0038677bb616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f05f7e646acbb9b63405b33fc29f7c40cd7d314bf72b82bea3e21806042ebd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2000-09-08T20:22:47Z",
    "title_canon_sha256": "ba2cd6741b7497309f51481b18d6a3a680a234da848117f0e10805d6c93dd02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0009026",
    "kind": "arxiv",
    "version": 2
  }
}