Pith Number

pith:ZCPBNZDL

pith:2015:ZCPBNZDLVATJUTSWUAKSI36TOW

not attested not anchored not stored refs pending

Deep factorisation of the stable process

Andreas E. Kyprianou

arxiv:1502.07399 v2 · 2015-02-25 · 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{ZCPBNZDLVATJUTSWUAKSI36TOW}

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	2026-05-18T01:34:54.963731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89e16e46ba8269a4e56a015246fd37581c0cb6191c8a334185e28a31769d0ef

Aliases

arxiv: 1502.07399 · arxiv_version: 1502.07399v2 · doi: 10.48550/arxiv.1502.07399 · pith_short_12: ZCPBNZDLVATJ · pith_short_16: ZCPBNZDLVATJUTSW · pith_short_8: ZCPBNZDL

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/ZCPBNZDLVATJUTSWUAKSI36TOW \
  | 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: c89e16e46ba8269a4e56a015246fd37581c0cb6191c8a334185e28a31769d0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea51d49b2a2d959145647e2cdb4980c71b61f2fcdf5e7f53d68ac04a8254f25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-25T23:13:07Z",
    "title_canon_sha256": "401bdfb26cb91166c379473e68ee1bac9e7832fbc79c44749ff73ff2de736e49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07399",
    "kind": "arxiv",
    "version": 2
  }
}