Pith Number

pith:SPIACQWS

pith:2007:SPIACQWSE3PB7CWPT4ZOIJBUG7

not attested not anchored not stored refs pending

The formation of black holes in spherically symmetric gravitational collapse

Gerhard Rein, Hakan Andreasson, Markus Kunze

arxiv:0706.3787 v3 · 2007-06-26 · 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{SPIACQWSE3PB7CWPT4ZOIJBUG7}

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	2026-05-18T04:31:20.642546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d00142d226de1f8acf9f32e4243437f06e4395e11cbe13a34da33532ca14e2

Aliases

arxiv: 0706.3787 · arxiv_version: 0706.3787v3 · doi: 10.48550/arxiv.0706.3787 · pith_short_12: SPIACQWSE3PB · pith_short_16: SPIACQWSE3PB7CWP · pith_short_8: SPIACQWS

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/SPIACQWSE3PB7CWPT4ZOIJBUG7 \
  | 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: 93d00142d226de1f8acf9f32e4243437f06e4395e11cbe13a34da33532ca14e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b977fc4c8a6cfe106628dde73c6944e4b6debaf6c59db2ebfa4940c87db91502",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-26T09:51:42Z",
    "title_canon_sha256": "c71e13a745770a0bff6f74838a0542e9c9b06c422949f9b06b1d17d3e5e74d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3787",
    "kind": "arxiv",
    "version": 3
  }
}