Pith Number

pith:IDJDHB5I

pith:2013:IDJDHB5IMPZKKZX54BF7YCHADS

not attested not anchored not stored refs pending

Towards Minimizing k-Submodular Functions

Anna Huber, Vladimir Kolmogorov

arxiv:1309.5469 v1 · 2013-09-21 · cs.DM · 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{IDJDHB5IMPZKKZX54BF7YCHADS}

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	2026-05-18T03:12:34.536083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40d23387a863f2a566fde04bfc08e01ca2ea1882ec4d1e5a2570a2d8fe1ba521

Aliases

arxiv: 1309.5469 · arxiv_version: 1309.5469v1 · doi: 10.48550/arxiv.1309.5469 · pith_short_12: IDJDHB5IMPZK · pith_short_16: IDJDHB5IMPZKKZX5 · pith_short_8: IDJDHB5I

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/IDJDHB5IMPZKKZX54BF7YCHADS \
  | 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: 40d23387a863f2a566fde04bfc08e01ca2ea1882ec4d1e5a2570a2d8fe1ba521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799b5d502ace6e44247222e898af2504d2b75f6f68ca6ddfc2124e0d6531f270",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-21T12:37:35Z",
    "title_canon_sha256": "0e44446f59b6c522fb9c9a44dc3622e03febb9ccc989f730bf035263590458e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5469",
    "kind": "arxiv",
    "version": 1
  }
}