Pith Number

pith:3AJKOY4Q

pith:2026:3AJKOY4QUQL2GWUYIVPPITVDQA

not attested not anchored not stored refs pending

A Sharp Forbidden Interval for the Nontrivial Adjacency Eigenvalues of Trivially Perfect Graphs

Cristian M. Conde, Ezequiel Dratman, Luciano N. Grippo

arxiv:2606.06052 v1 · 2026-06-04 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AJKOY4QUQL2GWUYIVPPITVDQA}

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	2026-06-05T01:15:31.600363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d812a76390a417a35a98455ef44ea38018394191fbccca6da63365b9fc2cd974

Aliases

arxiv: 2606.06052 · arxiv_version: 2606.06052v1 · doi: 10.48550/arxiv.2606.06052 · pith_short_12: 3AJKOY4QUQL2 · pith_short_16: 3AJKOY4QUQL2GWUY · pith_short_8: 3AJKOY4Q

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/3AJKOY4QUQL2GWUYIVPPITVDQA \
  | 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: d812a76390a417a35a98455ef44ea38018394191fbccca6da63365b9fc2cd974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ab69e54fddc737515398ae7343dd4eefe3c401ebc2ab34902af1568d30511f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-04T11:54:08Z",
    "title_canon_sha256": "17cb371bab468c2dae440c0834a08aa1c2addd7200bbe78fce9a55fb6c6d87de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06052",
    "kind": "arxiv",
    "version": 1
  }
}