Pith Number

pith:5RIP4QCX

pith:2012:5RIP4QCXIZDAH3SZ3EPPEWADBD

not attested not anchored not stored refs pending

Eigenvalues of a H-generalized join graph operation constrained by vertex subsets

Domingos M. Cardoso, Enide A. Martins, Maria Robbiano, Oscar Rojo

arxiv:1205.1752 v1 · 2012-05-08 · 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{5RIP4QCXIZDAH3SZ3EPPEWADBD}

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	2026-05-18T03:56:09.066549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec50fe4057464603ee59d91ef2580308d6d251a4ec8b5aec3de68b1da8e0d699

Aliases

arxiv: 1205.1752 · arxiv_version: 1205.1752v1 · doi: 10.48550/arxiv.1205.1752 · pith_short_12: 5RIP4QCXIZDA · pith_short_16: 5RIP4QCXIZDAH3SZ · pith_short_8: 5RIP4QCX

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/5RIP4QCXIZDAH3SZ3EPPEWADBD \
  | 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: ec50fe4057464603ee59d91ef2580308d6d251a4ec8b5aec3de68b1da8e0d699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116233c62202497966e8f02084074e1bacd411179546ecc6e3342ac0e546eaf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-08T17:28:09Z",
    "title_canon_sha256": "3900f80285c30af9c0b2d4bc1c7581217d6ee2e921f3a4033a833a2e63b4d078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1752",
    "kind": "arxiv",
    "version": 1
  }
}