Pith Number

pith:5ADMKQDS

pith:2010:5ADMKQDSXTDJQLCEW4QTRQEB7M

not attested not anchored not stored refs pending

A sufficient condition for the continuity of permanental processes with applications to local times of Markov processes

Jay Rosen, Michael B. Marcus

arxiv:1005.5692 v2 · 2010-05-31 · 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{5ADMKQDSXTDJQLCEW4QTRQEB7M}

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	2026-05-18T03:30:54.125655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e806c54072bcc6982c44b72138c081fb270dc62c6b984b301513b6c25f821b34

Aliases

arxiv: 1005.5692 · arxiv_version: 1005.5692v2 · doi: 10.48550/arxiv.1005.5692 · pith_short_12: 5ADMKQDSXTDJ · pith_short_16: 5ADMKQDSXTDJQLCE · pith_short_8: 5ADMKQDS

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/5ADMKQDSXTDJQLCEW4QTRQEB7M \
  | 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: e806c54072bcc6982c44b72138c081fb270dc62c6b984b301513b6c25f821b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e14fa6f57d6e4c8928babbfee211843fef67d8a7168aba0b0f0825b28bae9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-31T15:18:40Z",
    "title_canon_sha256": "f440d250eb5f8820ebc06ea84444bd7a62917d8a5b25fb1d7a3c158be291f5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5692",
    "kind": "arxiv",
    "version": 2
  }
}