Pith Number

pith:MACPO3D4

pith:2026:MACPO3D44MZAEJXM5PVPYEVOVV

not attested not anchored not stored refs pending

Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization

Alireza Doostan, Conor Rowan, Grant Norman, Kurt Maute

arxiv:2602.13513 v2 · 2026-02-13 · math.OC · cs.CE · cs.LG · cs.NA · math.DS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MACPO3D44MZAEJXM5PVPYEVOVV}

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	2026-06-11T01:10:33.849180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6004f76c7ce3320226ecebeafc12aead5cb55e043eeacece6ec2c008ac7f199c

Aliases

arxiv: 2602.13513 · arxiv_version: 2602.13513v2 · doi: 10.48550/arxiv.2602.13513 · pith_short_12: MACPO3D44MZA · pith_short_16: MACPO3D44MZAEJXM · pith_short_8: MACPO3D4

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/MACPO3D44MZAEJXM5PVPYEVOVV \
  | 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: 6004f76c7ce3320226ecebeafc12aead5cb55e043eeacece6ec2c008ac7f199c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78d2a01cbed48f63629287add013c4235e807bb3901c96c98e804f17d7c8c4b",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.LG",
      "cs.NA",
      "math.DS",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-13T22:44:33Z",
    "title_canon_sha256": "c65dea24a5d565d61dfcdcc49dd1a82dd3451fea9364326c4e2a197705c77117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.13513",
    "kind": "arxiv",
    "version": 2
  }
}