Pith Number

pith:GN32JVYT

pith:2001:GN32JVYT75PY7WRVOPYYBE3YCW

not attested not anchored not stored refs pending

p-Adic and Adelic Minisuperspace Quantum Cosmology

B. Dragovich, G.S. Djordjevic, I.V. Volovich, Lj.D. Nesic

arxiv:gr-qc/0105050 v2 · 2001-05-15 · 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{GN32JVYT75PY7WRVOPYYBE3YCW}

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	2026-05-18T01:06:47.872592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3377a4d713ff5f8fda3573f1809378159ac74c848c610478adeba43a3d4f856e

Aliases

arxiv: gr-qc/0105050 · arxiv_version: gr-qc/0105050v2 · doi: 10.48550/arxiv.gr-qc/0105050 · pith_short_12: GN32JVYT75PY · pith_short_16: GN32JVYT75PY7WRV · pith_short_8: GN32JVYT

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/GN32JVYT75PY7WRVOPYYBE3YCW \
  | 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: 3377a4d713ff5f8fda3573f1809378159ac74c848c610478adeba43a3d4f856e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6682549d9eac6697d9a3f64c07b5c527dc939273f1cc61e86f06b99d0cda6818",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-05-15T11:16:39Z",
    "title_canon_sha256": "2fc48f97fca0d44d2aec7d704d059648ab4f29cb4e3c0a84d60c1d5ca8ccc77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0105050",
    "kind": "arxiv",
    "version": 2
  }
}