Pith Number

pith:MABU3UQR

pith:2013:MABU3UQR25NQO3MILVXRI7H3ZC

not attested not anchored not stored refs pending

Subdifferential Formulas for a Class of Nonconvex Infimal Convolutions

Nguyen Mau Nam

arxiv:1312.7730 v1 · 2013-12-30 · 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{MABU3UQR25NQO3MILVXRI7H3ZC}

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	2026-05-18T03:03:33.902479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60034dd211d75b076d885d6f147cfbc896f34fbd0a62c23ff6086d84d8b534c2

Aliases

arxiv: 1312.7730 · arxiv_version: 1312.7730v1 · doi: 10.48550/arxiv.1312.7730 · pith_short_12: MABU3UQR25NQ · pith_short_16: MABU3UQR25NQO3MI · pith_short_8: MABU3UQR

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/MABU3UQR25NQO3MILVXRI7H3ZC \
  | 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: 60034dd211d75b076d885d6f147cfbc896f34fbd0a62c23ff6086d84d8b534c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b856873c599bf1122b26e3c18445a845b7487f31fe34238d3acd60b6942642dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-30T14:44:38Z",
    "title_canon_sha256": "f686f8d7b7bc40dc499ec6d6ce620e31fb81941c52187120e56292034a4943ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7730",
    "kind": "arxiv",
    "version": 1
  }
}