Pith Number

pith:QKXIC2QU

pith:2024:QKXIC2QUE2IZXAZHHPQXHMCRYO

not attested not anchored not stored refs pending

On combinatorial descriptions of faces of the cone of supermodular functions

Milan Studen\'y

arxiv:2410.19454 v1 · 2024-10-25 · math.CO · cs.IT · math.AG · math.IT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKXIC2QUE2IZXAZHHPQXHMCRYO}

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	2026-07-05T09:25:56.913962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ae816a1426919b83273be173b051c3b3745d1496670bb697bdef27f462a0a6

Aliases

arxiv: 2410.19454 · arxiv_version: 2410.19454v1 · doi: 10.48550/arxiv.2410.19454 · pith_short_12: QKXIC2QUE2IZ · pith_short_16: QKXIC2QUE2IZXAZH · pith_short_8: QKXIC2QU

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/QKXIC2QUE2IZXAZHHPQXHMCRYO \
  | 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: 82ae816a1426919b83273be173b051c3b3745d1496670bb697bdef27f462a0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbdae4fd002019c1b8e597f4d284a3c0bc74d3febd101d718ef85425c2781ca",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.IT",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-25T10:29:12Z",
    "title_canon_sha256": "f6319c780f7eff1fcd46222c73fecd0662119fdb7352aaebbe3ae07e4f1fff7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.19454",
    "kind": "arxiv",
    "version": 1
  }
}