Pith Number

pith:IMPPCCIO

pith:2012:IMPPCCIOU7Z7NVO5KVUV5C3TMF

not attested not anchored not stored refs pending

Time-changed processes governed by space-time fractional telegraph equations

Bruno Toaldo, Enzo Orsingher, Mirko D'Ovidio

arxiv:1206.2511 v3 · 2012-06-12 · 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{IMPPCCIOU7Z7NVO5KVUV5C3TMF}

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	2026-05-18T03:04:14.053536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431ef1090ea7f3f6d5dd55695e8b736170e28d8df42ae7dbb19de8666b8c9a2d

Aliases

arxiv: 1206.2511 · arxiv_version: 1206.2511v3 · doi: 10.48550/arxiv.1206.2511 · pith_short_12: IMPPCCIOU7Z7 · pith_short_16: IMPPCCIOU7Z7NVO5 · pith_short_8: IMPPCCIO

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/IMPPCCIOU7Z7NVO5KVUV5C3TMF \
  | 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: 431ef1090ea7f3f6d5dd55695e8b736170e28d8df42ae7dbb19de8666b8c9a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539251f97dff7a9fcbbc820e4529158442fd6cf8c9d14f9d5c55759e67497cd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-12T12:42:24Z",
    "title_canon_sha256": "282f9a4b159f4b89353bfc796e8fbeca5bea04165c14ef902606f038497e8a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2511",
    "kind": "arxiv",
    "version": 3
  }
}