Pith Number

pith:HIKO5XY7

pith:2026:HIKO5XY74IG5IQWTZA3XFUY6V4

not attested not anchored not stored refs pending

Propagation of chaos for Belavkin equations beyond pure states

Gaoyue Guo

arxiv:2606.29557 v1 · 2026-06-28 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIKO5XY74IG5IQWTZA3XFUY6V4}

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	2026-06-30T01:18:11.848644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a14eedf1fe20dd442d3c83772d31eaf174542328cf62f22c07ad48291fba3c2

Aliases

arxiv: 2606.29557 · arxiv_version: 2606.29557v1 · doi: 10.48550/arxiv.2606.29557 · pith_short_12: HIKO5XY74IG5 · pith_short_16: HIKO5XY74IG5IQWT · pith_short_8: HIKO5XY7

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/HIKO5XY74IG5IQWTZA3XFUY6V4 \
  | 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: 3a14eedf1fe20dd442d3c83772d31eaf174542328cf62f22c07ad48291fba3c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f011b72fa00625a8975dd4c1547d82f85c0e60efbcf8095075363c1f45830d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-28T18:52:04Z",
    "title_canon_sha256": "e2ce1e6574b51fbb076d28d66c16b48e56f592cfa16cad826513ca8500bfef5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29557",
    "kind": "arxiv",
    "version": 1
  }
}