Pith Number

pith:I5P4YBYV

pith:2026:I5P4YBYVJD5QSQCT5Q4R745MY6

not attested not anchored not stored refs pending

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions

Xianliang Zhao, Zhenfu Wang

arxiv:2607.22470 v1 · 2026-07-24 · 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{I5P4YBYVJD5QSQCT5Q4R745MY6}

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	2026-07-27T01:21:22.721550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475fcc071548fb094053ec391ff3acc7af7b6f2e514472b211c95c1de0a58d1e

Aliases

arxiv: 2607.22470 · arxiv_version: 2607.22470v1 · doi: 10.48550/arxiv.2607.22470 · pith_short_12: I5P4YBYVJD5Q · pith_short_16: I5P4YBYVJD5QSQCT · pith_short_8: I5P4YBYV

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/I5P4YBYVJD5QSQCT5Q4R745MY6 \
  | 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: 475fcc071548fb094053ec391ff3acc7af7b6f2e514472b211c95c1de0a58d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d186a1f259f161139fa38d0d176e4c5bda5ea99b215c383b31eecd0d0f3d99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-24T16:37:32Z",
    "title_canon_sha256": "26839eb24788e6420955f8ca16e968d1e6a3897136e74d8593e65b74cfd9f492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22470",
    "kind": "arxiv",
    "version": 1
  }
}