Pith Number

pith:JG44MC4P

pith:2025:JG44MC4PMXI5TBHTZDPXJTS4JB

not attested not anchored not stored refs pending

Convergent sequences of combinatorial submodular setfunctions

Krist\'of B\'erczi, L\'aszl\'o Lov\'asz, L\'aszl\'o M\'arton T\'oth, M\'arton Borb\'enyi

arxiv:2507.15105 v1 · 2025-07-20 · 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{JG44MC4PMXI5TBHTZDPXJTS4JB}

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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	2026-07-05T11:40:18.557772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b9c60b8f65d1d984f3c8df74ce5c486e52fbfb15b6ee0111c9d88379e0ec03

Aliases

arxiv: 2507.15105 · arxiv_version: 2507.15105v1 · doi: 10.48550/arxiv.2507.15105 · pith_short_12: JG44MC4PMXI5 · pith_short_16: JG44MC4PMXI5TBHT · pith_short_8: JG44MC4P

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/JG44MC4PMXI5TBHTZDPXJTS4JB \
  | 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: 49b9c60b8f65d1d984f3c8df74ce5c486e52fbfb15b6ee0111c9d88379e0ec03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4174f09f02ed7779b7b7e203f3d4a9c7c8603da7163570e48a2de48283cda5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-20T20:02:25Z",
    "title_canon_sha256": "28fc0302c97ae2b73245e9e36b0fa989fd1b24d4ec2a518c50c179c1486ac9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15105",
    "kind": "arxiv",
    "version": 1
  }
}