Pith Number

pith:SJNXKQAM

pith:2026:SJNXKQAMOBCXVHYG4ANE3MMG2A

not attested not anchored not stored refs pending

The Brownian loop-catcher

Gefei Cai

arxiv:2607.18070 v1 · 2026-07-20 · 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{SJNXKQAMOBCXVHYG4ANE3MMG2A}

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	2026-07-21T02:22:14.697351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925b75400c70457a9f06e01a4db186d02ee711647903d3285bf9be4e80467ffe

Aliases

arxiv: 2607.18070 · arxiv_version: 2607.18070v1 · doi: 10.48550/arxiv.2607.18070 · pith_short_12: SJNXKQAMOBCX · pith_short_16: SJNXKQAMOBCXVHYG · pith_short_8: SJNXKQAM

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/SJNXKQAMOBCXVHYG4ANE3MMG2A \
  | 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: 925b75400c70457a9f06e01a4db186d02ee711647903d3285bf9be4e80467ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83808f31984a65400f06836be4c3a2c3807c5cff96e9af164df34adf9fdff221",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-20T15:37:43Z",
    "title_canon_sha256": "f864d39e44605be4584af36f89378b8e0f9d03935d610361854154c8144b6e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18070",
    "kind": "arxiv",
    "version": 1
  }
}