Pith Number

pith:OQXMRAXT

pith:2015:OQXMRAXT47XYAS6WRFZBUTDJNU

not attested not anchored not stored refs pending

Splitting and time reversal for Markov additive processes

Jevgenijs Ivanovs

arxiv:1510.03580 v1 · 2015-10-13 · 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{OQXMRAXT47XYAS6WRFZBUTDJNU}

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	2026-05-18T01:30:16.780298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

742ec882f3e7ef804bd689721a4c696d1f53d9fc53fdabbff48181932e1a9404

Aliases

arxiv: 1510.03580 · arxiv_version: 1510.03580v1 · doi: 10.48550/arxiv.1510.03580 · pith_short_12: OQXMRAXT47XY · pith_short_16: OQXMRAXT47XYAS6W · pith_short_8: OQXMRAXT

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/OQXMRAXT47XYAS6WRFZBUTDJNU \
  | 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: 742ec882f3e7ef804bd689721a4c696d1f53d9fc53fdabbff48181932e1a9404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2da5fdeff1820d33b6fa02ddd2a7933c15657b36ae9a0f66a4e8efe6afb1bfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-13T08:59:04Z",
    "title_canon_sha256": "06fb6965f813a521003288d436eb1d89ffe0b924e3491d712195cbe3775fa7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03580",
    "kind": "arxiv",
    "version": 1
  }
}