Pith Number

pith:6OPLLFV7

pith:2012:6OPLLFV7L6GUGULRELE3VBEXC2

not attested not anchored not stored refs pending

On the local spectra of the subconstituents of a vertex set and completely pseudo-regular codes

E. Garriga, J. F\`abrega, M.A. Fiol, M. C\'amara

arxiv:1212.3815 v1 · 2012-12-16 · 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{6OPLLFV7L6GUGULRELE3VBEXC2}

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	2026-05-18T03:38:22.323809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39eb596bf5f8d43517122c9ba849716ade689a8949bf5c93036670fc0d493fd

Aliases

arxiv: 1212.3815 · arxiv_version: 1212.3815v1 · doi: 10.48550/arxiv.1212.3815 · pith_short_12: 6OPLLFV7L6GU · pith_short_16: 6OPLLFV7L6GUGULR · pith_short_8: 6OPLLFV7

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/6OPLLFV7L6GUGULRELE3VBEXC2 \
  | 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: f39eb596bf5f8d43517122c9ba849716ade689a8949bf5c93036670fc0d493fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d78bbfa594f415b0a1e17e23596d68c1b3933548c9e3de457571fd7daa0199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-16T18:42:09Z",
    "title_canon_sha256": "1db82570040aa6a7566b33f51a454c35f642f50a79a8a796b016ba2baa553867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3815",
    "kind": "arxiv",
    "version": 1
  }
}