Pith Number

pith:3OEB5HNT

pith:2012:3OEB5HNTXAQBTSTXYK6RVU5DRM

not attested not anchored not stored refs pending

Space-time fractional equations and the related stable processes at random time

Bruno Toaldo, Enzo Orsingher

arxiv:1207.3284 v2 · 2012-07-13 · 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{3OEB5HNTXAQBTSTXYK6RVU5DRM}

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	2026-05-18T01:33:24.710613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db881e9db3b82019ca77c2bd1ad3a38b0dce4612cc5f012926323ed41302bdfb

Aliases

arxiv: 1207.3284 · arxiv_version: 1207.3284v2 · doi: 10.48550/arxiv.1207.3284 · pith_short_12: 3OEB5HNTXAQB · pith_short_16: 3OEB5HNTXAQBTSTX · pith_short_8: 3OEB5HNT

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/3OEB5HNTXAQBTSTXYK6RVU5DRM \
  | 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: db881e9db3b82019ca77c2bd1ad3a38b0dce4612cc5f012926323ed41302bdfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f12a78a0a59c225d72cff77984da3bdba21d2b65db705fb0bab76c5bfba639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-13T15:44:40Z",
    "title_canon_sha256": "cd0465db234bca0f7e2e9bf9f741027a572a6ccb93466601aefe7e2c1900862f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3284",
    "kind": "arxiv",
    "version": 2
  }
}