Pith Number

pith:JBIRZEZT

pith:2017:JBIRZEZTKFS42VSVDWL2AJVLLN

not attested not anchored not stored refs pending

An extension of Yuan's Lemma and its applications in optimization

Gabriel Haeser

arxiv:1704.01109 v2 · 2017-04-04 · 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{JBIRZEZTKFS42VSVDWL2AJVLLN}

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	2026-05-18T00:40:01.242330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48511c93335165cd56551d97a026ab5b7d07844dde133fe223134cb980c5995d

Aliases

arxiv: 1704.01109 · arxiv_version: 1704.01109v2 · doi: 10.48550/arxiv.1704.01109 · pith_short_12: JBIRZEZTKFS4 · pith_short_16: JBIRZEZTKFS42VSV · pith_short_8: JBIRZEZT

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/JBIRZEZTKFS42VSVDWL2AJVLLN \
  | 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: 48511c93335165cd56551d97a026ab5b7d07844dde133fe223134cb980c5995d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f54cc6a052fcb4061a570ac321259ce2307489f777c83b1bcc5c92be19af4c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-04-04T17:27:04Z",
    "title_canon_sha256": "f779ebbdfee862f7ef15f2873483c217102369d35884326d6b2844fdedd5b604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01109",
    "kind": "arxiv",
    "version": 2
  }
}