Pith Number

pith:HLHBXHFB

pith:1999:HLHBXHFBJEA3BK3WUZF6BNVKUL

not attested not anchored not stored refs pending

Quantum L\'evy Processes and Fractional Kinetics

Aurel Bulgac, Dimitri Kusnezov, Giu Do Dang

arxiv:chao-dyn/9901002 v1 · 1999-01-04 · chao-dyn · cond-mat.mes-hall · nlin.CD · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLHBXHFBJEA3BK3WUZF6BNVKUL}

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	2026-07-04T16:12:04.557011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ace1b9ca14901b0ab76a64be0b6aaa2d449c0ae1ea7056b024b0a1f2e75f1f0

Aliases

arxiv: chao-dyn/9901002 · arxiv_version: chao-dyn/9901002v1 · doi: 10.48550/arxiv.chao-dyn/9901002 · pith_short_12: HLHBXHFBJEA3 · pith_short_16: HLHBXHFBJEA3BK3W · pith_short_8: HLHBXHFB

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/HLHBXHFBJEA3BK3WUZF6BNVKUL \
  | 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: 3ace1b9ca14901b0ab76a64be0b6aaa2d449c0ae1ea7056b024b0a1f2e75f1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c9c1cb97eb60188016b23b0a156329e6053658a64692faa2a17f4aeff6e0be",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "nlin.CD",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-01-04T14:46:02Z",
    "title_canon_sha256": "54d9513b7a475712407990a7885da0e6981fff8e4846c986d309503f565937b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9901002",
    "kind": "arxiv",
    "version": 1
  }
}