Pith Number

pith:5JVEE7OB

pith:1999:5JVEE7OB2L5B6KKFFY5HPSJHMJ

not attested not anchored not stored refs pending

Gravitational Collapse and Calogero Model

Dongsu Bak, Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim

arxiv:gr-qc/9912115 v1 · 1999-12-29 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JVEE7OB2L5B6KKFFY5HPSJHMJ}

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	2026-05-18T03:24:30.498403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6a427dc1d2fa1f29452e3a77c927625ba6096f80bc70659b932ed898ae7919

Aliases

arxiv: gr-qc/9912115 · arxiv_version: gr-qc/9912115v1 · doi: 10.48550/arxiv.gr-qc/9912115 · pith_short_12: 5JVEE7OB2L5B · pith_short_16: 5JVEE7OB2L5B6KKF · pith_short_8: 5JVEE7OB

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/5JVEE7OB2L5B6KKFFY5HPSJHMJ \
  | 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: ea6a427dc1d2fa1f29452e3a77c927625ba6096f80bc70659b932ed898ae7919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c78b7bf818b769c3796d619e4756938940a79dd72fbc002077951b867eb306f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-29T09:03:03Z",
    "title_canon_sha256": "4ba63653b3582e431a20c15efe5ab59bb7af2386097472f5c630b2d71df28432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912115",
    "kind": "arxiv",
    "version": 1
  }
}