Pith Number

pith:LA4HG2GQ

pith:2023:LA4HG2GQLN5V72ILVNT7OBN5DV

not attested not anchored not stored refs pending

Fenchel Conjugate of Set-Valued Mappings

Gary Sandine, Nguyen Dong Yen, Nguyen Mau Nam, Nguyen Nang Thieu

arxiv:2305.17612 v2 · 2023-05-28 · 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{LA4HG2GQLN5V72ILVNT7OBN5DV}

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	2026-07-05T07:08:58.249369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58387368d05b7b5fe90bab67f705bd1d6b87934fa4aeee41433985fb089988ce

Aliases

arxiv: 2305.17612 · arxiv_version: 2305.17612v2 · doi: 10.48550/arxiv.2305.17612 · pith_short_12: LA4HG2GQLN5V · pith_short_16: LA4HG2GQLN5V72IL · pith_short_8: LA4HG2GQ

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/LA4HG2GQLN5V72ILVNT7OBN5DV \
  | 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: 58387368d05b7b5fe90bab67f705bd1d6b87934fa4aeee41433985fb089988ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da61b29274880427ffe77089277045c956c78fdfa089eaf6fa47984a7d5ad527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-05-28T02:41:52Z",
    "title_canon_sha256": "b7f025e067ab89c58bcb3ab5d9a07311a0d061ae829372b00680287cfb21622e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.17612",
    "kind": "arxiv",
    "version": 2
  }
}