Pith Number

pith:GBCIDVEC

pith:2012:GBCIDVECZYZOUZDGH6GVUDG7U6

not attested not anchored not stored refs pending

Eigenvalue interlacing and weight parameters of graphs

M.A. Fiol

arxiv:1206.0367 v1 · 2012-06-02 · 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{GBCIDVECZYZOUZDGH6GVUDG7U6}

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	2026-05-18T03:54:25.143606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304481d482ce32ea64663f8d5a0cdfa7b01e66e5377711e5e8c7b30ca261235a

Aliases

arxiv: 1206.0367 · arxiv_version: 1206.0367v1 · doi: 10.48550/arxiv.1206.0367 · pith_short_12: GBCIDVECZYZO · pith_short_16: GBCIDVECZYZOUZDG · pith_short_8: GBCIDVEC

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/GBCIDVECZYZOUZDGH6GVUDG7U6 \
  | 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: 304481d482ce32ea64663f8d5a0cdfa7b01e66e5377711e5e8c7b30ca261235a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff412be532470d42ab4f32a6e6d32a5685661aaaae2062c260284ac0cce08d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-02T11:55:09Z",
    "title_canon_sha256": "a972508d71647f2ddfa67f318a06c4106579b8442eaea127a2b63d23a3f61439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0367",
    "kind": "arxiv",
    "version": 1
  }
}