Pith Number

pith:6UXDRSRY

pith:2014:6UXDRSRYBJBXUNDGSU6YSC55PT

not attested not anchored not stored refs pending

Continuous time random walk models for fractional space-time diffusion equations

Sabir Umarov

arxiv:1409.4062 v1 · 2014-09-14 · math.PR · 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{6UXDRSRYBJBXUNDGSU6YSC55PT}

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	2026-05-18T02:42:53.135032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f52e38ca380a437a3466953d890bbd7ceaea9391017b376eda53c1b64567a5ba

Aliases

arxiv: 1409.4062 · arxiv_version: 1409.4062v1 · doi: 10.48550/arxiv.1409.4062 · pith_short_12: 6UXDRSRYBJBX · pith_short_16: 6UXDRSRYBJBXUNDG · pith_short_8: 6UXDRSRY

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/6UXDRSRYBJBXUNDGSU6YSC55PT \
  | 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: f52e38ca380a437a3466953d890bbd7ceaea9391017b376eda53c1b64567a5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a5e91f6f371f04bb90886b98e8271da0a6667c1970ef51b9479d20ec5f5cb2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-14T15:14:57Z",
    "title_canon_sha256": "55e7fe7e8076e91a56289b728b58f0d69d1d3449baf832d7ccc06bb8a0b84527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4062",
    "kind": "arxiv",
    "version": 1
  }
}