Pith Number

pith:UYMRLSV6

pith:2010:UYMRLSV6RFZSMAUDKKWQYZ73J7

not attested not anchored not stored refs pending

Generalized Newton's Method based on Graphical Derivatives

B. S. Mordukhovich, C. Kanzow, H. Phan, T. Hoheisel

arxiv:1009.0410 v1 · 2010-09-02 · 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{UYMRLSV6RFZSMAUDKKWQYZ73J7}

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	2026-05-18T04:41:26.739088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61915cabe897326028352ad0c67fb4ffa2f8775c81e2936072920200ef443d5

Aliases

arxiv: 1009.0410 · arxiv_version: 1009.0410v1 · doi: 10.48550/arxiv.1009.0410 · pith_short_12: UYMRLSV6RFZS · pith_short_16: UYMRLSV6RFZSMAUD · pith_short_8: UYMRLSV6

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/UYMRLSV6RFZSMAUDKKWQYZ73J7 \
  | 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: a61915cabe897326028352ad0c67fb4ffa2f8775c81e2936072920200ef443d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc8d07c8bab9d81d389f432ac5a92e8142928cbedad63bcfc3a9ee4beb23c1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-02T12:34:17Z",
    "title_canon_sha256": "ad14ca45acf4713e5a544d4dc61beeb799264db9fab861d35998ecef96a4d77e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0410",
    "kind": "arxiv",
    "version": 1
  }
}