Pith Number

pith:KYFO7I5K

pith:2017:KYFO7I5KPKGRNG6J2WCSJRIV7I

not attested not anchored not stored refs pending

Piecewise Constant Martingales and Lazy Clocks

Christophe Profeta, Fr\'ed\'eric Vrins

arxiv:1706.05404 v1 · 2017-06-16 · 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{KYFO7I5KPKGRNG6J2WCSJRIV7I}

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	2026-05-18T00:42:11.754475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560aefa3aa7a8d169bc9d58524c515fa1f61ae7f69dd0d51f785b9e3522befbe

Aliases

arxiv: 1706.05404 · arxiv_version: 1706.05404v1 · doi: 10.48550/arxiv.1706.05404 · pith_short_12: KYFO7I5KPKGR · pith_short_16: KYFO7I5KPKGRNG6J · pith_short_8: KYFO7I5K

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/KYFO7I5KPKGRNG6J2WCSJRIV7I \
  | 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: 560aefa3aa7a8d169bc9d58524c515fa1f61ae7f69dd0d51f785b9e3522befbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec34d6e5dfaf84045f263d94f8103318d8a639c52ec17b5afc67b48cca555017",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-16T18:45:48Z",
    "title_canon_sha256": "921e5b5419285b1085e0b3cb5b651ab25b24def6ad761976a9017b85746d24c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05404",
    "kind": "arxiv",
    "version": 1
  }
}