Pith Number

pith:S7UQRDI4

pith:2012:S7UQRDI4C65XUUDDC4HSBOHIYP

not attested not anchored not stored refs pending

Euler's idoneal numbers and an inequality concerning minimal graphs with a prescribed number of spanning trees

Jernej Azarija, Riste \v{S}krekovski

arxiv:1210.6335 v2 · 2012-10-23 · 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{S7UQRDI4C65XUUDDC4HSBOHIYP}

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	2026-05-18T03:34:02.791803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e9088d1c17bb7a5063170f20b8e8c3c77a12878acb310316d1680fefd49f45

Aliases

arxiv: 1210.6335 · arxiv_version: 1210.6335v2 · doi: 10.48550/arxiv.1210.6335 · pith_short_12: S7UQRDI4C65X · pith_short_16: S7UQRDI4C65XUUDD · pith_short_8: S7UQRDI4

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/S7UQRDI4C65XUUDDC4HSBOHIYP \
  | 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: 97e9088d1c17bb7a5063170f20b8e8c3c77a12878acb310316d1680fefd49f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd30b9c567fecb491da7b22e8669344c63118c027c83f40aa831fd7b2423787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-23T19:34:26Z",
    "title_canon_sha256": "113b179c264827f9e24315b9a32aea7f731ec599a794e7ac6399c8c797f57221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6335",
    "kind": "arxiv",
    "version": 2
  }
}