Pith Number

pith:KISRGJ2N

pith:2007:KISRGJ2NDPVYKCMROGJT7TOOMZ

not attested not anchored not stored refs pending

Is the shell-focusing singularity of Szekeres space-time visible?

Brien C. Nolan, Ujjal Debnath

arxiv:0709.3152 v1 · 2007-09-20 · 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{KISRGJ2NDPVYKCMROGJT7TOOMZ}

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.

Cited by

1 paper in Pith

Supermassive black hole seeds from direct collapse of CDM-curvature peaks

Receipt and verification

First computed	2026-07-04T15:21:27.680794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

522513274d1beb85099171933fcdce667c333ba66a48976b0d299adc459bb8b9

Aliases

arxiv: 0709.3152 · arxiv_version: 0709.3152v1 · doi: 10.48550/arxiv.0709.3152 · pith_short_12: KISRGJ2NDPVY · pith_short_16: KISRGJ2NDPVYKCMR · pith_short_8: KISRGJ2N

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/KISRGJ2NDPVYKCMROGJT7TOOMZ \
  | 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: 522513274d1beb85099171933fcdce667c333ba66a48976b0d299adc459bb8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6938a67ec738938372cc1d0aa448c02a3d84e922ef483c03e7e416ca7e16a21e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-09-20T08:18:42Z",
    "title_canon_sha256": "8715dcc14a5fa824e3cbb2b0991f4062a04a34695a25a729cbd18d2ef7d7ae2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3152",
    "kind": "arxiv",
    "version": 1
  }
}