Pith Number

pith:TJNXIRGK

pith:2026:TJNXIRGKVSCC2RYBX2A2YIFF3Z

not attested not anchored not stored refs pending

A Measure-Theoretic Approach to Spontaneous Stochasticity

Eric Simonnet, Nicolas Valade, Wandrille Ruffenach

arxiv:2607.16328 v1 · 2026-07-15 · nlin.CD · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJNXIRGKVSCC2RYBX2A2YIFF3Z}

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	2026-07-21T00:20:12.655183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5b7444caac842d4701be81ac20a5de7bd4ecc1d32aa1755f68bc40cc03a74e

Aliases

arxiv: 2607.16328 · arxiv_version: 2607.16328v1 · doi: 10.48550/arxiv.2607.16328 · pith_short_12: TJNXIRGKVSCC · pith_short_16: TJNXIRGKVSCC2RYB · pith_short_8: TJNXIRGK

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/TJNXIRGKVSCC2RYBX2A2YIFF3Z \
  | 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: 9a5b7444caac842d4701be81ac20a5de7bd4ecc1d32aa1755f68bc40cc03a74e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd97ee89cc77cadaea8396427ca78e5e4250eccdeb3b5a726b17d131f1c9ea02",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-07-15T15:27:32Z",
    "title_canon_sha256": "9e39b0ea9b0caca770b344a1cd6a8caf85798561e36da28efdf8a206f5ec234c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16328",
    "kind": "arxiv",
    "version": 1
  }
}