Pith Number

pith:L53W2PKA

pith:2020:L53W2PKAJHHXWOTFYXOSNDOHNG

not attested not anchored not stored refs pending

On the number of forests and connected spanning subgraphs

Haoran Luo, M\'arton Borb\'enyi, P\'eter Csikv\'ari

arxiv:2005.12752 v4 · 2020-05-26 · 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{L53W2PKAJHHXWOTFYXOSNDOHNG}

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	2026-07-05T03:02:07.977980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f776d3d4049cf7b3a65c5dd268dc769ad5c3e65a071fd2ea3f7751ad6f98928

Aliases

arxiv: 2005.12752 · arxiv_version: 2005.12752v4 · doi: 10.48550/arxiv.2005.12752 · pith_short_12: L53W2PKAJHHX · pith_short_16: L53W2PKAJHHXWOTF · pith_short_8: L53W2PKA

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/L53W2PKAJHHXWOTFYXOSNDOHNG \
  | 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: 5f776d3d4049cf7b3a65c5dd268dc769ad5c3e65a071fd2ea3f7751ad6f98928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7275ab4c2afd2c69a95e95e16d2dad9ff7e27a78b7f75c306998aa904003dc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-26T14:19:31Z",
    "title_canon_sha256": "d87985cbe111d9102280e775cc554818fa9ac2b11f4250c11bf948bba310421b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.12752",
    "kind": "arxiv",
    "version": 4
  }
}