Pith Number

pith:ADBY5PHX

pith:2011:ADBY5PHXLV6KUWBUMAXTOL5TOJ

not attested not anchored not stored refs pending

An algorithm for computing an element of the Clarke generalized Jacobian of a difference of max-type functions

Ana Horta, Vera Roshchina

arxiv:1108.4805 v1 · 2011-08-24 · 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{ADBY5PHXLV6KUWBUMAXTOL5TOJ}

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	2026-05-18T04:14:46.744299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c38ebcf75d7caa5834602f372fb3725c368c8209725c2666bdb4fc377ad141

Aliases

arxiv: 1108.4805 · arxiv_version: 1108.4805v1 · doi: 10.48550/arxiv.1108.4805 · pith_short_12: ADBY5PHXLV6K · pith_short_16: ADBY5PHXLV6KUWBU · pith_short_8: ADBY5PHX

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/ADBY5PHXLV6KUWBUMAXTOL5TOJ \
  | 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: 00c38ebcf75d7caa5834602f372fb3725c368c8209725c2666bdb4fc377ad141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd3d0a77a068c2c73206a8d78f8b1400c53d9e905009aa2afb3ce685bd76aef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-08-24T10:53:19Z",
    "title_canon_sha256": "6a78fb47e932211de470a8e855dc3c324fe9733e2265a6eab3c89e2c374f5429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4805",
    "kind": "arxiv",
    "version": 1
  }
}