Pith Number

pith:ULZQEROD

pith:2023:ULZQEROD7KES7AH32ZXDSIJDRW

not attested not anchored not stored refs pending

Submodular setfunctions on sigma-algebras, version 2

L\'aszl\'o Lov\'asz

arxiv:2302.04704 v2 · 2023-02-09 · 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{ULZQEROD7KES7AH32ZXDSIJDRW}

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.

Cited by

1 paper in Pith

Whitney's 2-isomorphism theorem for graphings

Receipt and verification

First computed	2026-07-05T07:28:27.094744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f30245c3fa892f80fbd66e3921238da023f3f1736c8a1874589d74ff9b79dd

Aliases

arxiv: 2302.04704 · arxiv_version: 2302.04704v2 · doi: 10.48550/arxiv.2302.04704 · pith_short_12: ULZQEROD7KES · pith_short_16: ULZQEROD7KES7AH3 · pith_short_8: ULZQEROD

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/ULZQEROD7KES7AH32ZXDSIJDRW \
  | 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: a2f30245c3fa892f80fbd66e3921238da023f3f1736c8a1874589d74ff9b79dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ddbe467a72302c8f8707a497672e3760c980fa93bf9bf80e919295dcd89c87",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-09T15:42:41Z",
    "title_canon_sha256": "a545100303befbe0d901c5cf3f47b9153acb84e30d4ba5eb7006b4638317c82e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.04704",
    "kind": "arxiv",
    "version": 2
  }
}