Pith Number

pith:NVYA3RUX

pith:2023:NVYA3RUXPPP2FW6A4LREE6XJPH

not attested not anchored not stored refs pending

Note on the second eigenvalue of regular graphs

Benny Sudakov, Eero R\"aty, Igor Balla, Istv\'an Tomon

arxiv:2311.07629 v2 · 2023-11-13 · 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{NVYA3RUXPPP2FW6A4LREE6XJPH}

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.

Cited by

1 paper in Pith

An Alon-Boppana--type bound for very dense graphs, with applications to max-cut

Receipt and verification

First computed	2026-07-05T07:14:58.863657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d700dc6977bdfa2dbc0e2e2427ae979d05c40d09bb80fa8e408e737fdb18ff1

Aliases

arxiv: 2311.07629 · arxiv_version: 2311.07629v2 · doi: 10.48550/arxiv.2311.07629 · pith_short_12: NVYA3RUXPPP2 · pith_short_16: NVYA3RUXPPP2FW6A · pith_short_8: NVYA3RUX

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/NVYA3RUXPPP2FW6A4LREE6XJPH \
  | 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: 6d700dc6977bdfa2dbc0e2e2427ae979d05c40d09bb80fa8e408e737fdb18ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac93f5aa11cb9d57c717e88108c428e97f5f5177ed5201887b7055d525e2ccc5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-13T09:11:02Z",
    "title_canon_sha256": "018254b2ac37e63216dcd1584e4788c4c1de2b773b41329cdedfebe1bc840664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.07629",
    "kind": "arxiv",
    "version": 2
  }
}