Pith Number

pith:XTZXRD7Z

pith:2016:XTZXRD7Z6FUZK4PLJJ753DTA4E

not attested not anchored not stored refs pending

Fractional kinetic hierarchies and intermittency

Anatoly N. Kochubei, Yuri Kondratiev

arxiv:1604.03807 v2 · 2016-04-13 · 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{XTZXRD7Z6FUZK4PLJJ753DTA4E}

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	2026-05-18T01:02:52.238146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf3788ff9f1699571eb4a7fdd8e60e13e432bba90ba2dc6c5f7a9ac3487caed

Aliases

arxiv: 1604.03807 · arxiv_version: 1604.03807v2 · doi: 10.48550/arxiv.1604.03807 · pith_short_12: XTZXRD7Z6FUZ · pith_short_16: XTZXRD7Z6FUZK4PL · pith_short_8: XTZXRD7Z

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/XTZXRD7Z6FUZK4PLJJ753DTA4E \
  | 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: bcf3788ff9f1699571eb4a7fdd8e60e13e432bba90ba2dc6c5f7a9ac3487caed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb66668a82d5b558a41b66e6b30955513235c4ab9f176f1c12f7d57ab8506ec",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-13T14:37:21Z",
    "title_canon_sha256": "96beb460bf6202e7296f057cfd43667f3696fed970d7e4f6afd3f06a10f7ca00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03807",
    "kind": "arxiv",
    "version": 2
  }
}