Pith Number

pith:NXV2LTKY

pith:2000:NXV2LTKYJXASP7I3TAPGKXMWID

not attested not anchored not stored refs pending

Open universes and avoidance of the cosmological singularity

Israel Quiros, Rolando Bonal (Departamento de Fisica. Universidad Central de Las Villas. Santa Clara. Cuba), Rolando Cardenas

arxiv:gr-qc/0002071 v3 · 2000-02-21 · 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{NXV2LTKYJXASP7I3TAPGKXMWID}

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	2026-07-04T14:25:15.923593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6deba5cd584dc127fd1b981e655d9640c7ab9d2c4474fb85cf669ae68e19cb0f

Aliases

arxiv: gr-qc/0002071 · arxiv_version: gr-qc/0002071v3 · doi: 10.48550/arxiv.gr-qc/0002071 · pith_short_12: NXV2LTKYJXAS · pith_short_16: NXV2LTKYJXASP7I3 · pith_short_8: NXV2LTKY

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/NXV2LTKYJXASP7I3TAPGKXMWID \
  | 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: 6deba5cd584dc127fd1b981e655d9640c7ab9d2c4474fb85cf669ae68e19cb0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fb9a19cdfa1682933c1c752e92118096c64a5440093db836ddca4fe3e4ec30",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-02-21T20:09:53Z",
    "title_canon_sha256": "ee26d6df1edb9b6516cbd1ab3cb6dfb922a6c39c718244ed2ada1c4796efbfd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0002071",
    "kind": "arxiv",
    "version": 3
  }
}