Pith Number

pith:M5ZITZ34

pith:2018:M5ZITZ34BXF3EFFVENKHYNYBZC

not attested not anchored not stored refs pending

Langevin equation and fractional dynamics

Jakub \'Sl\k{e}zak

arxiv:1810.02412 v1 · 2018-10-04 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5ZITZ34BXF3EFFVENKHYNYBZC}

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	2026-05-18T00:04:01.928121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677289e77c0dcbb214b523547c3701c8aee6e9a286365abcc783a07df629385f

Aliases

arxiv: 1810.02412 · arxiv_version: 1810.02412v1 · doi: 10.48550/arxiv.1810.02412 · pith_short_12: M5ZITZ34BXF3 · pith_short_16: M5ZITZ34BXF3EFFV · pith_short_8: M5ZITZ34

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/M5ZITZ34BXF3EFFVENKHYNYBZC \
  | 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: 677289e77c0dcbb214b523547c3701c8aee6e9a286365abcc783a07df629385f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1474d4b2ed43a3260772260ceac8d75c5e0ff0c30fcb73f7e3c2d137bb08f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-10-04T20:17:17Z",
    "title_canon_sha256": "2e332ffede52b51cce5580d6ad1df59cc43676e6bdbae454e690b5196df0ef48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02412",
    "kind": "arxiv",
    "version": 1
  }
}