Pith Number

pith:CS7BDJWI

pith:2015:CS7BDJWIR64UIO7A4UMZGYG3F4

not attested not anchored not stored refs pending

On k-Submodular Relaxation

Hiroshi Hirai, Yuni Iwamasa

arxiv:1504.07830 v3 · 2015-04-29 · math.OC · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CS7BDJWIR64UIO7A4UMZGYG3F4}

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	2026-05-18T01:04:54.046062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14be11a6c88fb9443be0e5199360db2f19a2729095da14f0d0fd8d0c3486d3c3

Aliases

arxiv: 1504.07830 · arxiv_version: 1504.07830v3 · doi: 10.48550/arxiv.1504.07830 · pith_short_12: CS7BDJWIR64U · pith_short_16: CS7BDJWIR64UIO7A · pith_short_8: CS7BDJWI

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/CS7BDJWIR64UIO7A4UMZGYG3F4 \
  | 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: 14be11a6c88fb9443be0e5199360db2f19a2729095da14f0d0fd8d0c3486d3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0577a80e6761563ad1eeed92e9f5d6d46b352174b1e2806d346da24c9b005eb",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-04-29T12:27:44Z",
    "title_canon_sha256": "9234e8bbc966f44d20c3133f21d0bf84fb3bc17a49ca62d9efddb55c68d0e765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07830",
    "kind": "arxiv",
    "version": 3
  }
}