Pith Number

pith:YPJDU5M4

pith:2010:YPJDU5M4R5KX5VPPYHGI53PBGT

not attested not anchored not stored refs pending

Continuous Markovian model for Levy random walks with superdiffusive and superballistic regimes

Andreas Heuer, Ihor Lubashevsky, Ramil Usmanov, Rudolf Friedrich

arxiv:1005.4768 v1 · 2010-05-26 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPJDU5M4R5KX5VPPYHGI53PBGT}

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	2026-05-18T02:07:07.993192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d23a759c8f557ed5efc1cc8eede134f183558c2ef87f7b2778240dd0a20c76

Aliases

arxiv: 1005.4768 · arxiv_version: 1005.4768v1 · doi: 10.48550/arxiv.1005.4768 · pith_short_12: YPJDU5M4R5KX · pith_short_16: YPJDU5M4R5KX5VPP · pith_short_8: YPJDU5M4

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/YPJDU5M4R5KX5VPPYHGI53PBGT \
  | 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: c3d23a759c8f557ed5efc1cc8eede134f183558c2ef87f7b2778240dd0a20c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1619572d339d8501bb1a1c05850bdc2c56d57b32d1493ac49d3a499d236865d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-05-26T09:33:23Z",
    "title_canon_sha256": "c0386192a8e2b9891733d8959d542e380c208322d6cdf70b7f59d0f42506bcbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4768",
    "kind": "arxiv",
    "version": 1
  }
}