Pith Number

pith:MI6PNCQD

pith:2001:MI6PNCQDNITSQQMPRCWHL6UCWF

not attested not anchored not stored refs pending

Sufficient condition for Blackhole formation in spherical gravitational collapse

Fabio Giannoni, Giulio Magli, Roberto Giambo'

arxiv:gr-qc/0110027 v1 · 2001-10-04 · 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{MI6PNCQDNITSQQMPRCWHL6UCWF}

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	2026-05-18T02:37:35.814638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623cf68a036a2728418f88ac75fa82b15e58002d58d6f7e855587ab386383adc

Aliases

arxiv: gr-qc/0110027 · arxiv_version: gr-qc/0110027v1 · doi: 10.48550/arxiv.gr-qc/0110027 · pith_short_12: MI6PNCQDNITS · pith_short_16: MI6PNCQDNITSQQMP · pith_short_8: MI6PNCQD

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/MI6PNCQDNITSQQMPRCWHL6UCWF \
  | 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: 623cf68a036a2728418f88ac75fa82b15e58002d58d6f7e855587ab386383adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e51f679c53f834e2962120b54675923287bed6f78ff1b52c2586f1c6ed524cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-10-04T17:32:25Z",
    "title_canon_sha256": "81b1bb567bc630247f1e0fe74b89522e7f7bfb252d0a03fc2bbbd21e91748063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0110027",
    "kind": "arxiv",
    "version": 1
  }
}