Pith Number

pith:XI3HUXYX

pith:2014:XI3HUXYX24W5FDGDUMZXZQ525I

not attested not anchored not stored refs pending

Weakly Submodular Functions

Allan Borodin, Dai Tri Man Le, Yuli Ye

arxiv:1401.6697 v5 · 2014-01-26 · cs.DM · cs.DS · 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{XI3HUXYX24W5FDGDUMZXZQ525I}

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	2026-05-18T02:35:52.185930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba367a5f17d72dd28cc3a3337cc3baea1dca9fce50de97181024dd2e3cb6ae5d

Aliases

arxiv: 1401.6697 · arxiv_version: 1401.6697v5 · doi: 10.48550/arxiv.1401.6697 · pith_short_12: XI3HUXYX24W5 · pith_short_16: XI3HUXYX24W5FDGD · pith_short_8: XI3HUXYX

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/XI3HUXYX24W5FDGDUMZXZQ525I \
  | 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: ba367a5f17d72dd28cc3a3337cc3baea1dca9fce50de97181024dd2e3cb6ae5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac2cf64c33bb21be216990948b2ff8d7279f6310148ed32c53b1a1e3d562505",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-01-26T21:48:39Z",
    "title_canon_sha256": "50ee6cf64ede2286fd5a39287333585710c38d0afbabba551f15e77e900f71a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6697",
    "kind": "arxiv",
    "version": 5
  }
}