Pith Number

pith:NAXNCWZ3

pith:2019:NAXNCWZ326FG7RS2XNJTBUCEH6

not attested not anchored not stored refs pending

Low-Temperature Quantum Fokker-Planck and Smoluchowski Equations and Their Extension to Multistate Systems

Tatsushi Ikeda, Yoshitaka Tanimura

arxiv:1901.10547 v3 · 2019-01-29 · physics.chem-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAXNCWZ326FG7RS2XNJTBUCEH6}

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	2026-05-17T23:48:55.002232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682ed15b3bd78a6fc65abb5330d0443fa9607c0581f4194bfd8bbb34ed77427b

Aliases

arxiv: 1901.10547 · arxiv_version: 1901.10547v3 · doi: 10.48550/arxiv.1901.10547 · pith_short_12: NAXNCWZ326FG · pith_short_16: NAXNCWZ326FG7RS2 · pith_short_8: NAXNCWZ3

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/NAXNCWZ326FG7RS2XNJTBUCEH6 \
  | 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: 682ed15b3bd78a6fc65abb5330d0443fa9607c0581f4194bfd8bbb34ed77427b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ec2e17299ec7a3f785be5be96f1ae42f8d2cd9079db46fa5a6474e6ec687c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2019-01-29T21:04:58Z",
    "title_canon_sha256": "2c8cb69ea8afcad2fd11e17f875b8d1d7bc8f03e00f97bfaa7de1682f65575d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10547",
    "kind": "arxiv",
    "version": 3
  }
}