Pith Number

pith:JWNMUEBW

pith:1993:JWNMUEBWZTZXIAC4LR2JTXYAVM

not attested not anchored not stored refs pending

The Isaacson expansion in quantum cosmology

Carsten Gundlach

arxiv:gr-qc/9303016 v2 · 1993-03-10 · 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{JWNMUEBWZTZXIAC4LR2JTXYAVM}

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	2026-05-18T04:37:57.598426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9aca1036ccf374005c5c7499df00ab385a9291f360bd4ec6edf49a3b9c6d2a

Aliases

arxiv: gr-qc/9303016 · arxiv_version: gr-qc/9303016v2 · doi: 10.48550/arxiv.gr-qc/9303016 · pith_short_12: JWNMUEBWZTZX · pith_short_16: JWNMUEBWZTZXIAC4 · pith_short_8: JWNMUEBW

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/JWNMUEBWZTZXIAC4LR2JTXYAVM \
  | 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: 4d9aca1036ccf374005c5c7499df00ab385a9291f360bd4ec6edf49a3b9c6d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b9299c9cc7baaa7170782e6cf5dfa7da43f74ae5a6f6139a96699be1cbba5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-03-10T23:35:39Z",
    "title_canon_sha256": "7a0c3e374e154f1a64735f3ca55c7155d1c999ffb4744f3f3f09b58ea9a5da08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9303016",
    "kind": "arxiv",
    "version": 2
  }
}