Pith Number

pith:PGI5CY6Q

pith:2025:PGI5CY6QO4J36RML252ITTI4S5

not attested not anchored not stored refs pending

Perfect Matchings in Random Sparsifications of Dense Hypergraphs

Jie Han, Jingwen Zhao

arxiv:2507.11359 v4 · 2025-07-15 · 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{PGI5CY6QO4J36RML252ITTI4S5}

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	2026-07-30T01:19:00.790790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

7991d163d07713bf458bd77489cd1c97550a3942a3d8d7554bf52e46fcdb26b8

Aliases

arxiv: 2507.11359 · arxiv_version: 2507.11359v4 · doi: 10.48550/arxiv.2507.11359 · pith_short_12: PGI5CY6QO4J3 · pith_short_16: PGI5CY6QO4J36RML · pith_short_8: PGI5CY6Q

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/PGI5CY6QO4J36RML252ITTI4S5 \
  | 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: 7991d163d07713bf458bd77489cd1c97550a3942a3d8d7554bf52e46fcdb26b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1098ef773ef216a31e6b2134d5a7416705145e3c2182a937dc046c51e2b346c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-15T14:28:14Z",
    "title_canon_sha256": "860b7e8879aab4e1217495026ff7463a7e6467946dddcc0b5e0a39f3dc358ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11359",
    "kind": "arxiv",
    "version": 4
  }
}