Pith Number

pith:ZHL4F6WI

pith:2025:ZHL4F6WIOABMEFY5ORHOX6CMIR

not attested not anchored not stored refs pending

Entropy Bounds for Perfect Matchings in Bipartite Hypergraphs

Alexander Divoux, Tantan Dai, Tom Kelly

arxiv:2506.17652 v2 · 2025-06-21 · 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{ZHL4F6WIOABMEFY5ORHOX6CMIR}

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	2026-05-21T01:04:14.807724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d7c2fac87002c2171d744eebf84c4478a9282d4782cbe81ebcf2909a685946

Aliases

arxiv: 2506.17652 · arxiv_version: 2506.17652v2 · doi: 10.48550/arxiv.2506.17652 · pith_short_12: ZHL4F6WIOABM · pith_short_16: ZHL4F6WIOABMEFY5 · pith_short_8: ZHL4F6WI

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/ZHL4F6WIOABMEFY5ORHOX6CMIR \
  | 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: c9d7c2fac87002c2171d744eebf84c4478a9282d4782cbe81ebcf2909a685946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2965bf3711bfdcb0902228b77d69677c312c84a82a58d302f918c115384da7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-21T09:22:47Z",
    "title_canon_sha256": "95504f95792725756f79c38d4843f78ddc053cc5be2dd1e80784a90b5db80b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17652",
    "kind": "arxiv",
    "version": 2
  }
}