Pith Number

pith:CNKKQWZK

pith:2015:CNKKQWZKM6YACNRTLE37QUS25M

not attested not anchored not stored refs pending

Submodular Functions: from Discrete to Continous Domains

Francis Bach (LIENS, SIERRA)

arxiv:1511.00394 v2 · 2015-11-02 · cs.LG · 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{CNKKQWZKM6YACNRTLE37QUS25M}

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	2026-05-18T01:20:09.120218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1354a85b2a67b00136335937f8525aeb034d6ad6c0f59a81b42707c933380e14

Aliases

arxiv: 1511.00394 · arxiv_version: 1511.00394v2 · doi: 10.48550/arxiv.1511.00394 · pith_short_12: CNKKQWZKM6YA · pith_short_16: CNKKQWZKM6YACNRT · pith_short_8: CNKKQWZK

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/CNKKQWZKM6YACNRTLE37QUS25M \
  | 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: 1354a85b2a67b00136335937f8525aeb034d6ad6c0f59a81b42707c933380e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08213180c13d2662f6d727dcd0f849f2db32cf559561363ae68030b8b9670a9e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-11-02T06:33:59Z",
    "title_canon_sha256": "81729c85ceadcd384b44d673aa46090894050cabb8d05294ae31cd3afae0010f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00394",
    "kind": "arxiv",
    "version": 2
  }
}