Pith Number

pith:4H5VDKAH

pith:2003:4H5VDKAHHRXHNWKSXOFWRUKFCU

not attested not anchored not stored refs pending

The Classical Singularity Theorems and their Quantum Loopholes

L.H. Ford

arxiv:gr-qc/0301045 v1 · 2003-01-13 · 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{4H5VDKAHHRXHNWKSXOFWRUKFCU}

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

Effective Phantom Dark Energy: What Cosmological Reconstruction Does and Does Not Imply

Receipt and verification

First computed	2026-07-04T14:25:38.533221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1fb51a8073c6e76d952bb8b68d145151f310c41f77b851f3bb35b0695dd9347

Aliases

arxiv: gr-qc/0301045 · arxiv_version: gr-qc/0301045v1 · doi: 10.48550/arxiv.gr-qc/0301045 · pith_short_12: 4H5VDKAHHRXH · pith_short_16: 4H5VDKAHHRXHNWKS · pith_short_8: 4H5VDKAH

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/4H5VDKAHHRXHNWKSXOFWRUKFCU \
  | 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: e1fb51a8073c6e76d952bb8b68d145151f310c41f77b851f3bb35b0695dd9347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c449166b0c6088f45967954243ae4d836c9671f89f1b5051c6a7c786b26ca84",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-01-13T21:31:27Z",
    "title_canon_sha256": "df37aa3138253377a372099c87fd7c579f2fbf738db35738d51ed143211edd94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0301045",
    "kind": "arxiv",
    "version": 1
  }
}