Pith Number

pith:NF6OEMGT

pith:2025:NF6OEMGT65JOONFBHRUHXPZRS4

not attested not anchored not stored refs pending

Counting independent sets in expanding bipartite regular graphs

Anna Geisler, Joshua Erde, Maur\'icio Collares, Mihyun Kang

arxiv:2503.22255 v1 · 2025-03-28 · 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{NF6OEMGT65JOONFBHRUHXPZRS4}

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

Counting independent sets in percolated graphs via the Ising model

Receipt and verification

First computed	2026-07-05T10:40:50.155247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697ce230d3f752e734a13c687bbf319708089f87dfa2a0b5e73a19b0d693c5ec

Aliases

arxiv: 2503.22255 · arxiv_version: 2503.22255v1 · doi: 10.48550/arxiv.2503.22255 · pith_short_12: NF6OEMGT65JO · pith_short_16: NF6OEMGT65JOONFB · pith_short_8: NF6OEMGT

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/NF6OEMGT65JOONFBHRUHXPZRS4 \
  | 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: 697ce230d3f752e734a13c687bbf319708089f87dfa2a0b5e73a19b0d693c5ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9523b7715392cba5f74cccd706d34ca1b33c8081cf3dc32964ffa16a89ab0e34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-28T09:12:45Z",
    "title_canon_sha256": "0d3aeeaffb5447ee46e5ef25e89b7c8ec229c9d337295e54715c66378fc6575a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.22255",
    "kind": "arxiv",
    "version": 1
  }
}