Pith Number

pith:YGF5V7CB

pith:1996:YGF5V7CBAAZ6VFMDPWCOCOAUIJ

not attested not anchored not stored refs pending

Singularities in Inflationary Cosmology: A Review

Alexander Vilenkin, Arvind Borde

arxiv:gr-qc/9612036 v1 · 1996-12-15 · 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{YGF5V7CBAAZ6VFMDPWCOCOAUIJ}

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	2026-05-18T02:37:29.526027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18bdafc410033ea95837d84e1381442750cc82117542ccb8a3eb65c3afbe931

Aliases

arxiv: gr-qc/9612036 · arxiv_version: gr-qc/9612036v1 · doi: 10.48550/arxiv.gr-qc/9612036 · pith_short_12: YGF5V7CBAAZ6 · pith_short_16: YGF5V7CBAAZ6VFMD · pith_short_8: YGF5V7CB

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/YGF5V7CBAAZ6VFMDPWCOCOAUIJ \
  | 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: c18bdafc410033ea95837d84e1381442750cc82117542ccb8a3eb65c3afbe931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1865e2f8517c10659af3ead7108ee6f32f607c1a70b1bd641bf7c7f1b3a0043",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-12-15T00:29:07Z",
    "title_canon_sha256": "8d987061d1ac9d1be6a8914f36733fbd9c7d1e8060d42b4d386e9d778eea5307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9612036",
    "kind": "arxiv",
    "version": 1
  }
}