Pith Number

pith:ZXJZ7ZCN

pith:1994:ZXJZ7ZCNYA45XDWBLVS56T26WF

not attested not anchored not stored refs pending

Open and Closed Universes, Initial Singularities and Inflation

Arvind Borde

arxiv:gr-qc/9403049 v1 · 1994-03-28 · 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{ZXJZ7ZCNYA45XDWBLVS56T26WF}

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

Dynamical Formation of Regular Black Holes

Receipt and verification

First computed	2026-07-04T15:56:54.087460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd39fe44dc039db8ec15d65df4f5eb14710ae4dda2fb7f128aa1a2dbf9b3c73

Aliases

arxiv: gr-qc/9403049 · arxiv_version: gr-qc/9403049v1 · doi: 10.48550/arxiv.gr-qc/9403049 · pith_short_12: ZXJZ7ZCNYA45 · pith_short_16: ZXJZ7ZCNYA45XDWB · pith_short_8: ZXJZ7ZCN

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/ZXJZ7ZCNYA45XDWBLVS56T26WF \
  | 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: cdd39fe44dc039db8ec15d65df4f5eb14710ae4dda2fb7f128aa1a2dbf9b3c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9a5187ac2f2994ea0204615510ca851ee67c018bd795c63750eed29b9575b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-03-28T07:11:00Z",
    "title_canon_sha256": "8420463c739e5c39df15f8c3c7af6a212437c3825d862c092bf910039d18238d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9403049",
    "kind": "arxiv",
    "version": 1
  }
}