Pith Number

pith:GARIHGZI

pith:2026:GARIHGZIX4I32LHV5Z3DTAXBFH

not attested not anchored not stored refs pending

Embedding martingale diffusions as binary posteriors in sequential inference

Karl Kristian Engelund, Steven Campbell

arxiv:2607.20373 v1 · 2026-07-22 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GARIHGZIX4I32LHV5Z3DTAXBFH}

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	2026-07-23T01:25:17.471633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3022839b28bf11bd2cf5ee763982e129c209bcf1e53f66698e0d9ac3acd05dbc

Aliases

arxiv: 2607.20373 · arxiv_version: 2607.20373v1 · doi: 10.48550/arxiv.2607.20373 · pith_short_12: GARIHGZIX4I3 · pith_short_16: GARIHGZIX4I32LHV · pith_short_8: GARIHGZI

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/GARIHGZIX4I32LHV5Z3DTAXBFH \
  | 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: 3022839b28bf11bd2cf5ee763982e129c209bcf1e53f66698e0d9ac3acd05dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc39ae0d0a859fd9ef1492fc087a99fb13592775dc2656faa0d7d85e3064793",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-22T17:02:57Z",
    "title_canon_sha256": "8fe7145b0c6dbe7e0b44db01c7268921684082ce0c388fb5fb85511e83e462a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20373",
    "kind": "arxiv",
    "version": 1
  }
}