Pith Number

pith:NHYAOTZF

pith:2000:NHYAOTZF43BIHS5NHIAUN4FWTA

not attested not anchored not stored refs pending

The Central Singularity in Spherical Collapse

Brien C. Nolan

arxiv:gr-qc/0001026 v2 · 2000-01-11 · 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{NHYAOTZF43BIHS5NHIAUN4FWTA}

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	2026-05-18T04:35:35.562476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f0074f25e6c283cbad3a0146f0b69835d5f360e69bce12cbd550acf8d42ed5

Aliases

arxiv: gr-qc/0001026 · arxiv_version: gr-qc/0001026v2 · doi: 10.48550/arxiv.gr-qc/0001026 · pith_short_12: NHYAOTZF43BI · pith_short_16: NHYAOTZF43BIHS5N · pith_short_8: NHYAOTZF

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/NHYAOTZF43BIHS5NHIAUN4FWTA \
  | 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: 69f0074f25e6c283cbad3a0146f0b69835d5f360e69bce12cbd550acf8d42ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f5d33a36021d26baa6632885cf0e3bdecf464a0ffcbb03b5246dafee61d760",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-01-11T09:14:04Z",
    "title_canon_sha256": "c1a36f12e0fa1962450055800c45424aa997feae3fd61b46c49d97fe8dc40b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0001026",
    "kind": "arxiv",
    "version": 2
  }
}