Pith Number

pith:KU4BJPD2

pith:2016:KU4BJPD2BI5HWAHTCNVAKIWMC7

not attested not anchored not stored refs pending

Legendre-Fenchel duality and a generalized constitutive relation error

Hongzhi Zhong, Mengwu Guo, Weimin Han

arxiv:1611.05589 v1 · 2016-11-17 · 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{KU4BJPD2BI5HWAHTCNVAKIWMC7}

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	2026-05-18T00:58:03.185255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553814bc7a0a3a7b00f3136a0522cc17c6046f23060134368d70508211f0a334

Aliases

arxiv: 1611.05589 · arxiv_version: 1611.05589v1 · doi: 10.48550/arxiv.1611.05589 · pith_short_12: KU4BJPD2BI5H · pith_short_16: KU4BJPD2BI5HWAHT · pith_short_8: KU4BJPD2

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/KU4BJPD2BI5HWAHTCNVAKIWMC7 \
  | 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: 553814bc7a0a3a7b00f3136a0522cc17c6046f23060134368d70508211f0a334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d350b5015b9d4fb4e614c07b84949cbdb1a27695672a141072504885ce56f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-17T06:58:16Z",
    "title_canon_sha256": "3ba806af1197c6ddf09611d787784c378b56cc08d7c69bd581589c7d70b05aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05589",
    "kind": "arxiv",
    "version": 1
  }
}