Pith Number

pith:VO7GOG3N

pith:2023:VO7GOG3NVO5KXC7BZLKVLWRPNV

not attested not anchored not stored refs pending

Positive discrepancy, MaxCut, and eigenvalues of graphs

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

arxiv:2311.02070 v2 · 2023-11-03 · 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{VO7GOG3NVO5KXC7BZLKVLWRPNV}

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	2026-07-05T07:14:20.045912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abbe671b6dabbaab8be1cad555da2f6d411075384067a4f09d4e4ce45b9259af

Aliases

arxiv: 2311.02070 · arxiv_version: 2311.02070v2 · doi: 10.48550/arxiv.2311.02070 · pith_short_12: VO7GOG3NVO5K · pith_short_16: VO7GOG3NVO5KXC7B · pith_short_8: VO7GOG3N

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/VO7GOG3NVO5KXC7BZLKVLWRPNV \
  | 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: abbe671b6dabbaab8be1cad555da2f6d411075384067a4f09d4e4ce45b9259af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ace5bf9b60f2aa91cb0162909d13f644ce450bde60066cfa02de0ddcf1b2b6b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-03T17:54:27Z",
    "title_canon_sha256": "7bbe605577d837b75e542f3bbfec0a282b046d50cb9d9dec82ce8f1c7752dab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.02070",
    "kind": "arxiv",
    "version": 2
  }
}