Pith Number

pith:NUSQIXWK

pith:2004:NUSQIXWKJIAU3YEVTAB6N6OS3I

not attested not anchored not stored refs pending

Sudden Future Singularities

John D. Barrow

arxiv:gr-qc/0403084 v3 · 2004-03-19 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUSQIXWKJIAU3YEVTAB6N6OS3I}

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

10 papers in Pith

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

An Interplay Between Fractional Calculus and Holographic Dark Energy

$\Lambda$CDM-like models with future singularities

Finite scale factor and future singularities

$\Lambda_{\rm s}$CDM cosmology from a type-II minimally modified gravity

Receipt and verification

First computed	2026-07-04T16:47:42.524821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d25045eca4a014de0959803e6f9d2da29d45026d4129b29fd8f8ef699984908

Aliases

arxiv: gr-qc/0403084 · arxiv_version: gr-qc/0403084v3 · doi: 10.48550/arxiv.gr-qc/0403084 · pith_short_12: NUSQIXWKJIAU · pith_short_16: NUSQIXWKJIAU3YEV · pith_short_8: NUSQIXWK

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/NUSQIXWKJIAU3YEVTAB6N6OS3I \
  | 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: 6d25045eca4a014de0959803e6f9d2da29d45026d4129b29fd8f8ef699984908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca196ebed7b1d4f8ad6498f3f87ca53f2869d6f93d083b843bbed001df3051b",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-03-19T10:17:02Z",
    "title_canon_sha256": "acd07458acad8e8188066986af6ed8ab117d2130af13089dc32a5b111eda7d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0403084",
    "kind": "arxiv",
    "version": 3
  }
}