Pith Number

pith:KEPNB2LD

pith:2025:KEPNB2LDY2EBQNX5EHMYPXFEY3

not attested not anchored not stored refs pending

Neural Brownian Motion

Qian Qi

arxiv:2507.14499 v1 · 2025-07-19 · math.PR · cs.AI · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEPNB2LDY2EBQNX5EHMYPXFEY3}

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	2026-07-05T11:40:08.316255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511ed0e963c6881836fd21d987dca4c6f7e66eb7490248afda3607036b9b84ae

Aliases

arxiv: 2507.14499 · arxiv_version: 2507.14499v1 · doi: 10.48550/arxiv.2507.14499 · pith_short_12: KEPNB2LDY2EB · pith_short_16: KEPNB2LDY2EBQNX5 · pith_short_8: KEPNB2LD

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/KEPNB2LDY2EBQNX5EHMYPXFEY3 \
  | 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: 511ed0e963c6881836fd21d987dca4c6f7e66eb7490248afda3607036b9b84ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48050ebd3d1a89fac1099ccd1119bb9efc5214815831422421d307e478b81860",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-19T06:09:52Z",
    "title_canon_sha256": "7069b7a98788b41e2bdb39798201f6ab902df5610f76426257ccb9c729b7f246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14499",
    "kind": "arxiv",
    "version": 1
  }
}