Pith Number

pith:CA57J4WU

pith:2013:CA57J4WUKTX76ONT5ZF224WA5S

not attested not anchored not stored refs pending

Higher-order Reverse Automatic Differentiation with emphasis on the third-order

Artur L. Gower, Robert M. Gower

arxiv:1309.5479 v1 · 2013-09-21 · cs.MS · cs.SC · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CA57J4WUKTX76ONT5ZF224WA5S}

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	2026-05-18T02:30:32.480459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103bf4f2d454efff39b3ee4bad72c0ecbd3ac7318cdb8c2913bb6fadbce8bd3f

Aliases

arxiv: 1309.5479 · arxiv_version: 1309.5479v1 · doi: 10.48550/arxiv.1309.5479 · pith_short_12: CA57J4WUKTX7 · pith_short_16: CA57J4WUKTX76ONT · pith_short_8: CA57J4WU

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/CA57J4WUKTX76ONT5ZF224WA5S \
  | 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: 103bf4f2d454efff39b3ee4bad72c0ecbd3ac7318cdb8c2913bb6fadbce8bd3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2710bb19ec9647cb1e4c000e78f477e090d69af4a34df2db272eff566a9253fe",
    "cross_cats_sorted": [
      "cs.SC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2013-09-21T14:00:40Z",
    "title_canon_sha256": "9bc42eaab2b7aa2b9d15f568464de59d69cc1c2af568d909c9a8624948d425f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5479",
    "kind": "arxiv",
    "version": 1
  }
}