Pith Number

pith:2ATTW25C

pith:2012:2ATTW25CGL6NV4PAZZEIAYRGHU

not attested not anchored not stored refs pending

Even-order pseudoprocesses on a circle and related Poisson kernels

Bruno Toaldo, Enzo Orsingher

arxiv:1212.5786 v3 · 2012-12-23 · 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{2ATTW25CGL6NV4PAZZEIAYRGHU}

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	2026-05-18T03:27:01.210796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0273b6ba232fcdaf1e0ce488062263d384bcc47f8f8a1c27cda5265fc7c03f6

Aliases

arxiv: 1212.5786 · arxiv_version: 1212.5786v3 · doi: 10.48550/arxiv.1212.5786 · pith_short_12: 2ATTW25CGL6N · pith_short_16: 2ATTW25CGL6NV4PA · pith_short_8: 2ATTW25C

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/2ATTW25CGL6NV4PAZZEIAYRGHU \
  | 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: d0273b6ba232fcdaf1e0ce488062263d384bcc47f8f8a1c27cda5265fc7c03f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6b6c41e67b229e9b03d7d341ae85a1f42c4f866fbaf57d153ba5332f5308e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-23T11:56:00Z",
    "title_canon_sha256": "29e99c5ada13d070137bc159bf9baa99f24386336d3f999829bd2020579d85c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5786",
    "kind": "arxiv",
    "version": 3
  }
}