Pith Number

pith:YGE5E2OC

pith:2018:YGE5E2OCNOWOSM5LOH26EEG4NT

not attested not anchored not stored refs pending

Integrality of Subgradients and Biconjugates of Integrally Convex Functions

Akihisa Tamura, Kazuo Murota

arxiv:1806.00992 v2 · 2018-06-04 · math.CO · 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{YGE5E2OCNOWOSM5LOH26EEG4NT}

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	2026-05-18T00:06:16.009526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c189d269c26bace933ab71f5e210dc6ceab20abb5a205110f21176c0a8c49990

Aliases

arxiv: 1806.00992 · arxiv_version: 1806.00992v2 · doi: 10.48550/arxiv.1806.00992 · pith_short_12: YGE5E2OCNOWO · pith_short_16: YGE5E2OCNOWOSM5L · pith_short_8: YGE5E2OC

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/YGE5E2OCNOWOSM5LOH26EEG4NT \
  | 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: c189d269c26bace933ab71f5e210dc6ceab20abb5a205110f21176c0a8c49990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859fd1a2516d3fadf872e0e7b64878756b2ea7fabb9fa11bba19ca51a20fa9ad",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-04T07:43:10Z",
    "title_canon_sha256": "5711a2b2869e0e31fd0aa16c029c62836af299882d231a9e4f5be2065ce979ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00992",
    "kind": "arxiv",
    "version": 2
  }
}