Pith Number

pith:YRGT3HLS

pith:1994:YRGT3HLS4V47ONN66OC2DOPQSX

not attested not anchored not stored refs pending

Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry

Alan D. Rendall

arxiv:gr-qc/9411011 v1 · 1994-11-04 · gr-qc · dg-ga · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRGT3HLS4V47ONN66OC2DOPQSX}

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	2026-07-04T17:25:36.673576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44d3d9d72e579f735bef385a1b9f095e9b89d534c50eda72b7e3005015ba29d

Aliases

arxiv: gr-qc/9411011 · arxiv_version: gr-qc/9411011v1 · doi: 10.48550/arxiv.gr-qc/9411011 · pith_short_12: YRGT3HLS4V47 · pith_short_16: YRGT3HLS4V47ONN6 · pith_short_8: YRGT3HLS

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/YRGT3HLS4V47ONN66OC2DOPQSX \
  | 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: c44d3d9d72e579f735bef385a1b9f095e9b89d534c50eda72b7e3005015ba29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98412a2258802f27d9055fd4360c49e1ca3736a696e30137264538bc0444501",
    "cross_cats_sorted": [
      "dg-ga",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-11-04T14:56:50Z",
    "title_canon_sha256": "ed6df7166bae9c5f9d051d133696e8f0d25820f534741f0f4e8da2fe3b69473d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9411011",
    "kind": "arxiv",
    "version": 1
  }
}