Pith Number

pith:K7Q4CSCD

pith:2023:K7Q4CSCDPVTSS7CUVY4TQBLAEK

not attested not anchored not stored refs pending

On Supermodular Contracts and Dense Subgraphs

Aditya Prasad, Neel Patel, Ramiro Deo-Campo Vuong, Shaddin Dughmi

arxiv:2308.07473 v1 · 2023-08-14 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7Q4CSCDPVTSS7CUVY4TQBLAEK}

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	2026-07-05T06:41:26.247202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e1c148437d67297c54ae3938056022a3b7a6acfddca3995ff148e9f25edbc7

Aliases

arxiv: 2308.07473 · arxiv_version: 2308.07473v1 · doi: 10.48550/arxiv.2308.07473 · pith_short_12: K7Q4CSCDPVTS · pith_short_16: K7Q4CSCDPVTSS7CU · pith_short_8: K7Q4CSCD

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/K7Q4CSCDPVTSS7CUVY4TQBLAEK \
  | 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: 57e1c148437d67297c54ae3938056022a3b7a6acfddca3995ff148e9f25edbc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5fd582341826b99f24165e00bae075dc8e455bc0903ae280ea8d576606a70e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-08-14T21:57:25Z",
    "title_canon_sha256": "1671ba2a5bbea491d23c9f639c1e57ec2994225b289d45bc8be65492e7e8af32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07473",
    "kind": "arxiv",
    "version": 1
  }
}