Pith Number

pith:7I4LTAQM

pith:1998:7I4LTAQMCI3G4VT6JFSTG2NCZK

not attested not anchored not stored refs pending

Minimal conditions for the creation of a Friedman-Robertson-Walker universe from a "bounce"

Carmen Molina-Paris (Los Alamos), Matt Visser (Washington University)

arxiv:gr-qc/9810023 v1 · 1998-10-07 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I4LTAQMCI3G4VT6JFSTG2NCZK}

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

2 papers in Pith

Affine ANEC selects the closed FRW branch for geodesically complete cosmology

Energy conditions of bouncing solutions in quadratic curvature gravity coupled with a scalar field

Receipt and verification

First computed	2026-07-04T16:08:52.229590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa38b9820c12366e567e49653369a2ca8eb7f6b193777c89deb0a38675cf6255

Aliases

arxiv: gr-qc/9810023 · arxiv_version: gr-qc/9810023v1 · doi: 10.48550/arxiv.gr-qc/9810023 · pith_short_12: 7I4LTAQMCI3G · pith_short_16: 7I4LTAQMCI3G4VT6 · pith_short_8: 7I4LTAQM

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/7I4LTAQMCI3G4VT6JFSTG2NCZK \
  | 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: fa38b9820c12366e567e49653369a2ca8eb7f6b193777c89deb0a38675cf6255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82c086c6c66b0d9fa58b3fd7f1837dd6a116422fc22c0585207d3bc98efa6e5",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-10-07T10:19:31Z",
    "title_canon_sha256": "e646b97230e7ff75c4a2eea21e8cef71ac1254c2a9bad4e613dc509e13c0c145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9810023",
    "kind": "arxiv",
    "version": 1
  }
}