Pith Number

pith:E4XAVPXF

pith:2017:E4XAVPXFKH2EPRWMGGI33CCWOW

not attested not anchored not stored refs pending

Scaling, Proximity, and Optimization of Integrally Convex Functions

Akihisa Tamura, Fabio Tardella, Kazuo Murota, Satoko Moriguchi

arxiv:1703.10705 v2 · 2017-03-30 · 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{E4XAVPXFKH2EPRWMGGI33CCWOW}

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	2026-05-18T00:28:16.036674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272e0abee551f447c6cc3191bd88567584ce73ef81b5476ad9c04a82704e57f7

Aliases

arxiv: 1703.10705 · arxiv_version: 1703.10705v2 · doi: 10.48550/arxiv.1703.10705 · pith_short_12: E4XAVPXFKH2E · pith_short_16: E4XAVPXFKH2EPRWM · pith_short_8: E4XAVPXF

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/E4XAVPXFKH2EPRWMGGI33CCWOW \
  | 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: 272e0abee551f447c6cc3191bd88567584ce73ef81b5476ad9c04a82704e57f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa5d9c93c2ea91cc04fb133584acab77767835a5bb6c2d572ce234f059c0fb9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-30T23:02:52Z",
    "title_canon_sha256": "d25ca6b95d430cb9f6a2b8357e4a3f5e1b4c532236c38e902264b18fe3d79c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10705",
    "kind": "arxiv",
    "version": 2
  }
}