Pith Number

pith:JLBMMIQL

pith:2000:JLBMMIQL43T3YJWS4EQPQWMWWA

not attested not anchored not stored refs pending

Quantum Evolution of the Bianchi Type I Model

V.N. Folomeev, V.Ts. Gurovich

arxiv:gr-qc/0001065 v2 · 2000-01-21 · 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{JLBMMIQL43T3YJWS4EQPQWMWWA}

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	2026-05-18T01:39:25.002917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac2c6220be6e7bc26d2e120f85996b03fa1308e43ad62d008a12b9dcffefa0f

Aliases

arxiv: gr-qc/0001065 · arxiv_version: gr-qc/0001065v2 · doi: 10.48550/arxiv.gr-qc/0001065 · pith_short_12: JLBMMIQL43T3 · pith_short_16: JLBMMIQL43T3YJWS · pith_short_8: JLBMMIQL

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/JLBMMIQL43T3YJWS4EQPQWMWWA \
  | 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: 4ac2c6220be6e7bc26d2e120f85996b03fa1308e43ad62d008a12b9dcffefa0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc14232cb1224156fc643addb81266542bbdc82416b1c30cc391e9e8df23a67",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-01-21T15:00:49Z",
    "title_canon_sha256": "8a5f5cf571ef2a0fef3a1c33f0433191d51dbbb4672f78bfeab68af0ff88b390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0001065",
    "kind": "arxiv",
    "version": 2
  }
}