Pith Number

pith:XWYDLJFC

pith:2025:XWYDLJFCHE2K4Y6XWPDH5K5NXE

not attested not anchored not stored refs pending

Computing AD-compatible subgradients of convex relaxations of implicit functions

Kamil A. Khan, Yingkai Song

arxiv:2501.18471 v1 · 2025-01-30 · math.OC · cs.NA · 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{XWYDLJFCHE2K4Y6XWPDH5K5NXE}

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	2026-07-05T10:07:34.513467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb035a4a23934ae63d7b3c67eabadb91430aba022b6d4fb0dbd1b19ce55ce12

Aliases

arxiv: 2501.18471 · arxiv_version: 2501.18471v1 · doi: 10.48550/arxiv.2501.18471 · pith_short_12: XWYDLJFCHE2K · pith_short_16: XWYDLJFCHE2K4Y6X · pith_short_8: XWYDLJFC

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/XWYDLJFCHE2K4Y6XWPDH5K5NXE \
  | 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: bdb035a4a23934ae63d7b3c67eabadb91430aba022b6d4fb0dbd1b19ce55ce12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b24301c7b36cd3f5f55fda0bf06bfcb0c0be25de94b6fed8c64cfe31ae9f6d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-30T16:46:26Z",
    "title_canon_sha256": "3ea1ea2c7b74c5427730ba9c35ac65ac8b8c9307e2e95a699d57afaf361ee69c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18471",
    "kind": "arxiv",
    "version": 1
  }
}