Pith Number

pith:7TWRAIM3

pith:2002:7TWRAIM3YVQ77FGJ3G74VLDHAH

not attested not anchored not stored refs pending

Black hole singularities: a new critical phenomenon

Lior M. Burko

arxiv:gr-qc/0209084 v3 · 2002-09-23 · 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{7TWRAIM3YVQ77FGJ3G74VLDHAH}

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	2026-05-18T04:35:34.898590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fced10219bc561ff94c9d9bfcaac6701c94b804da83a498aae5001d913711bf3

Aliases

arxiv: gr-qc/0209084 · arxiv_version: gr-qc/0209084v3 · doi: 10.48550/arxiv.gr-qc/0209084 · pith_short_12: 7TWRAIM3YVQ7 · pith_short_16: 7TWRAIM3YVQ77FGJ · pith_short_8: 7TWRAIM3

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/7TWRAIM3YVQ77FGJ3G74VLDHAH \
  | 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: fced10219bc561ff94c9d9bfcaac6701c94b804da83a498aae5001d913711bf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe16b9e1a08f70a7ff8d64b95b43ec3d6f4e2d822e9c1e408a9c32d83e9d5078",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-09-23T19:51:20Z",
    "title_canon_sha256": "59ce71a1de129ca6db561f76735c007a34d01b77559a86f4c5413b8b9ecf92a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0209084",
    "kind": "arxiv",
    "version": 3
  }
}