Pith Number

pith:GBRYZ6A5

pith:2006:GBRYZ6A5TTSRBFWHW5Y3WYTOCV

not attested not anchored not stored refs pending

Impossibility of Unlimited Gravitational Collapse

A.A.Logunov, M.A.Mestvirishvili, S.S.Gershtein

arxiv:gr-qc/0612177 v1 · 2006-12-28 · 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{GBRYZ6A5TTSRBFWHW5Y3WYTOCV}

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	2026-05-18T01:39:19.978735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30638cf81d9ce51096c7b771bb626e15477d9c51297988ef8951ba43acae4b30

Aliases

arxiv: gr-qc/0612177 · arxiv_version: gr-qc/0612177v1 · doi: 10.48550/arxiv.gr-qc/0612177 · pith_short_12: GBRYZ6A5TTSR · pith_short_16: GBRYZ6A5TTSRBFWH · pith_short_8: GBRYZ6A5

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/GBRYZ6A5TTSRBFWHW5Y3WYTOCV \
  | 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: 30638cf81d9ce51096c7b771bb626e15477d9c51297988ef8951ba43acae4b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec07608cafd28bc9d61ca6254257341a63a6c706c5d66669e235a30dacf5dbcd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-28T07:06:13Z",
    "title_canon_sha256": "e41724c7cfd51dd7ba4836d8e3c52e2e5d3a2b7714ae41db275934a7ebff0996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612177",
    "kind": "arxiv",
    "version": 1
  }
}