Pith Number

pith:7WJS3A3X

pith:2018:7WJS3A3XJZXX7JRMM4AD3GOMTL

not attested not anchored not stored refs pending

The Fokker-Planck Equation for Lattice Vibration: Stochastic Dynamics and Thermal Conductivity

Jianjun Dong, Yi Zeng

arxiv:1811.08492 v1 · 2018-11-20 · cond-mat.stat-mech · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WJS3A3XJZXX7JRMM4AD3GOMTL}

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	2026-05-17T23:55:10.983986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd932d83774e6f7fa62c67003d99cc9adc4dcda6870dd0de5fd5e4b4ba828aad

Aliases

arxiv: 1811.08492 · arxiv_version: 1811.08492v1 · doi: 10.48550/arxiv.1811.08492 · pith_short_12: 7WJS3A3XJZXX · pith_short_16: 7WJS3A3XJZXX7JRM · pith_short_8: 7WJS3A3X

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/7WJS3A3XJZXX7JRMM4AD3GOMTL \
  | 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: fd932d83774e6f7fa62c67003d99cc9adc4dcda6870dd0de5fd5e4b4ba828aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3a07548f2289508d5b15a50a8941defb7cea978166b3612823bd46ffc66a00",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-11-20T21:15:48Z",
    "title_canon_sha256": "251d0e1e9ecbf068332b705c1a56058794d7692434f83191ec29dab3b1fdc3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08492",
    "kind": "arxiv",
    "version": 1
  }
}