Pith Number

pith:T3AJASVF

pith:2025:T3AJASVFFT325CXSVT3PVRKQRU

not attested not anchored not stored refs pending

State evolution beyond first-order methods I: Rigorous predictions and finite-sample guarantees

Ashwin Pananjady, Chen Cheng, Kabir Aladin Verchand, Michael Celentano

arxiv:2507.19611 v1 · 2025-07-25 · math.ST · cs.LG · math.OC · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3AJASVFFT325CXSVT3PVRKQRU}

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.

Cited by

1 paper in Pith

Statistical Inference on Gradient Flows

Receipt and verification

First computed	2026-07-05T11:43:37.578208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec0904aa52cf7ae8af2acf6fac5508d3766728497d8f8fd15c8fadab00a685b

Aliases

arxiv: 2507.19611 · arxiv_version: 2507.19611v1 · doi: 10.48550/arxiv.2507.19611 · pith_short_12: T3AJASVFFT32 · pith_short_16: T3AJASVFFT325CXS · pith_short_8: T3AJASVF

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/T3AJASVFFT325CXSVT3PVRKQRU \
  | 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: 9ec0904aa52cf7ae8af2acf6fac5508d3766728497d8f8fd15c8fadab00a685b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542cc6d2decc237fd5bc3a4a3e0c59523183e6b39554fe918bce22ff81667899",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-25T18:28:09Z",
    "title_canon_sha256": "e0ec30282c24412ad2a16b0f5e1bb47567e8404f7331c77fecf6a41d7d47e05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19611",
    "kind": "arxiv",
    "version": 1
  }
}