Pith Number

pith:WTUO5BRA

pith:2021:WTUO5BRAYR5Z43DSYDCYHNUKRL

not attested not anchored not stored refs pending

Optimality Conditions for Variational Problems in Incomplete Functional Spaces

Ashkan Mohammadi, Boris Mordukhovich

arxiv:2104.14727 v2 · 2021-04-30 · 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{WTUO5BRAYR5Z43DSYDCYHNUKRL}

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	2026-07-05T03:27:02.171210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e8ee8620c47b9e6c72c0c583b68a8af09bd2e38c1976dd918c32ff81da6383

Aliases

arxiv: 2104.14727 · arxiv_version: 2104.14727v2 · doi: 10.48550/arxiv.2104.14727 · pith_short_12: WTUO5BRAYR5Z · pith_short_16: WTUO5BRAYR5Z43DS · pith_short_8: WTUO5BRA

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/WTUO5BRAYR5Z43DSYDCYHNUKRL \
  | 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: b4e8ee8620c47b9e6c72c0c583b68a8af09bd2e38c1976dd918c32ff81da6383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fcb4de6f7061de68a3c0b2cf53ae5faa7329a71546ad09f540b1f047acbfcc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-04-30T02:22:32Z",
    "title_canon_sha256": "910b75568c3896fc90fff12cd7a36d771fe0e044a36f1bf0cde5c68cdae6cef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14727",
    "kind": "arxiv",
    "version": 2
  }
}