Pith Number

pith:D44LLCRK

pith:2017:D44LLCRK7FIB4QNB2LKUXZL2DR

not attested not anchored not stored refs pending

Projection and Convolution Operations for Integrally Convex Functions

Kazuo Murota, Satoko Moriguchi

arxiv:1710.04077 v3 · 2017-10-10 · math.OC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D44LLCRK7FIB4QNB2LKUXZL2DR}

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	2026-05-18T00:08:36.348109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f38b58a2af9501e41a1d2d54be57a1c49ab85c92951bcb6fabd314504e3c834

Aliases

arxiv: 1710.04077 · arxiv_version: 1710.04077v3 · doi: 10.48550/arxiv.1710.04077 · pith_short_12: D44LLCRK7FIB · pith_short_16: D44LLCRK7FIB4QNB · pith_short_8: D44LLCRK

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/D44LLCRK7FIB4QNB2LKUXZL2DR \
  | 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: 1f38b58a2af9501e41a1d2d54be57a1c49ab85c92951bcb6fabd314504e3c834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0ae7e8353f3e874d38a82b57bc1c9fc6e16caf1ebf9cae59b287d6a950e525",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-10T08:06:24Z",
    "title_canon_sha256": "902191c00834103fe2643f1636e7a5c1b6a928af49d882b6b752678511cf4bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04077",
    "kind": "arxiv",
    "version": 3
  }
}