Pith Number

pith:TGWE25YU

pith:2024:TGWE25YU4TBRKTQ474KDM63MWB

not attested not anchored not stored refs pending

Fractional Langevin equation far from equilibrium: Riemann-Liouville fractional Brownian motion, spurious nonergodicity and aging

Aleksei Chechkin, Qing Wei, Ralf Metzler, Wei Wang, Yifa Tang

arxiv:2412.11559 v1 · 2024-12-16 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGWE25YU4TBRKTQ474KDM63MWB}

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	2026-07-05T09:49:47.861312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ac4d7714e4c3154e1cff14367b6cb0492301ef7cf7050b10dd494a6425d331

Aliases

arxiv: 2412.11559 · arxiv_version: 2412.11559v1 · doi: 10.48550/arxiv.2412.11559 · pith_short_12: TGWE25YU4TBR · pith_short_16: TGWE25YU4TBRKTQ4 · pith_short_8: TGWE25YU

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/TGWE25YU4TBRKTQ474KDM63MWB \
  | 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: 99ac4d7714e4c3154e1cff14367b6cb0492301ef7cf7050b10dd494a6425d331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1697f94b347fe4449915c200158e7ae8e1d9c2643feb22c91f752a9100a8003b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-16T08:43:37Z",
    "title_canon_sha256": "142ea84deedc1f838e0431c7f40446fa37f159206348eab019b4752aa64b53ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11559",
    "kind": "arxiv",
    "version": 1
  }
}