Pith Number

pith:VXFUN7FL

pith:1992:VXFUN7FLMPVC3YDDLJQFKDMQCX

not attested not anchored not stored refs pending

A Nonlinear Model of a Quantum Minisuperspace System with Back Reaction

Marcos Rosenbaum, Michael P. Ryan, Sukanya Sinha

arxiv:gr-qc/9212011 v1 · 1992-12-16 · 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{VXFUN7FLMPVC3YDDLJQFKDMQCX}

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	2026-05-18T04:17:52.783196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adcb46fcab63ea2de0635a60550d9015e832ce0ff31eb142ec8435c1d996e175

Aliases

arxiv: gr-qc/9212011 · arxiv_version: gr-qc/9212011v1 · doi: 10.48550/arxiv.gr-qc/9212011 · pith_short_12: VXFUN7FLMPVC · pith_short_16: VXFUN7FLMPVC3YDD · pith_short_8: VXFUN7FL

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/VXFUN7FLMPVC3YDDLJQFKDMQCX \
  | 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: adcb46fcab63ea2de0635a60550d9015e832ce0ff31eb142ec8435c1d996e175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5dc939d85e9f73642f71d5af16bc0048bd46a4588052f10f30f0b815e94312a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1992-12-16T21:20:00Z",
    "title_canon_sha256": "7398bfec3fe665331fd562ff95c37a2ffbc4ef66d760faf6db672ee1bcc8b11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9212011",
    "kind": "arxiv",
    "version": 1
  }
}