Pith Number

pith:YYNAKZ3S

pith:2016:YYNAKZ3SGSMFGEOENDRCQF2QMN

not attested not anchored not stored refs pending

A note on chaotic and predictable representations for It\^o-Markov additive processes

Anna Sulima, {\L}ukasz Stettner, Zbigniew Palmowski

arxiv:1612.09216 v2 · 2016-12-29 · 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{YYNAKZ3SGSMFGEOENDRCQF2QMN}

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	2026-05-18T00:36:43.634075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61a05677234985311c468e2281750635120089cd2251befb4a3b536de594ba9

Aliases

arxiv: 1612.09216 · arxiv_version: 1612.09216v2 · doi: 10.48550/arxiv.1612.09216 · pith_short_12: YYNAKZ3SGSMF · pith_short_16: YYNAKZ3SGSMFGEOE · pith_short_8: YYNAKZ3S

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/YYNAKZ3SGSMFGEOENDRCQF2QMN \
  | 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: c61a05677234985311c468e2281750635120089cd2251befb4a3b536de594ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad743e6ed0dbd011ff667eb1bd0016368cc94f6b4be7721e0c207df8df4f28ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-29T17:48:49Z",
    "title_canon_sha256": "5ebabb5566e9d2cc9cc4f269184c72a7d1e3358e8e7c656734f02cc82395d1af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09216",
    "kind": "arxiv",
    "version": 2
  }
}