Pith Number

pith:HNHACRF6

pith:2001:HNHACRF6FJ25GOACR6IP6MXTG4

not attested not anchored not stored refs pending

Master equation for quantum Brownian motion derived by stochastic methods

Albert Roura, Enric Verdaguer, Esteban Calzetta

arxiv:gr-qc/0103037 v1 · 2001-03-12 · 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{HNHACRF6FJ25GOACR6IP6MXTG4}

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	2026-05-18T04:16:21.742083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b4e0144be2a75d338028f90ff32f3373a7e5776080602781bc162e34f52c06a

Aliases

arxiv: gr-qc/0103037 · arxiv_version: gr-qc/0103037v1 · doi: 10.48550/arxiv.gr-qc/0103037 · pith_short_12: HNHACRF6FJ25 · pith_short_16: HNHACRF6FJ25GOAC · pith_short_8: HNHACRF6

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/HNHACRF6FJ25GOACR6IP6MXTG4 \
  | 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: 3b4e0144be2a75d338028f90ff32f3373a7e5776080602781bc162e34f52c06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37bf318d750669e0503cc7e45ad28a6508ac88cccbc774a519867d78aa4f69df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-03-12T17:15:08Z",
    "title_canon_sha256": "295451c283b6f87cab343522befa7c08cffdd99f4f8e6421319d756392b4b9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0103037",
    "kind": "arxiv",
    "version": 1
  }
}