Pith Number

pith:S5DHMHPY

pith:2021:S5DHMHPYTIQXRCBIQRKTY5N5L7

not attested not anchored not stored refs pending

On a theorem of Nosal

V. Nikiforov

arxiv:2104.12171 v1 · 2021-04-25 · 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{S5DHMHPYTIQXRCBIQRKTY5N5L7}

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

3 papers in Pith

An edge-spectral supersaturation of Mubayi's theorem for color-critical graphs

Spectral Sidorenko inequalities and edge-spectral supersaturation

More on Nosal's spectral theorem: Books and $4$-cycles

Receipt and verification

First computed	2026-07-05T02:34:54.236190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9746761df89a2178882884553c75bd5fef4a3dcb79cce19705fba90312e886d6

Aliases

arxiv: 2104.12171 · arxiv_version: 2104.12171v1 · doi: 10.48550/arxiv.2104.12171 · pith_short_12: S5DHMHPYTIQX · pith_short_16: S5DHMHPYTIQXRCBI · pith_short_8: S5DHMHPY

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/S5DHMHPYTIQXRCBIQRKTY5N5L7 \
  | 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: 9746761df89a2178882884553c75bd5fef4a3dcb79cce19705fba90312e886d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32587f9380a376ca4bb9c14fd0061d86e0cce39a57d48c25a66056de34c66d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-25T14:22:17Z",
    "title_canon_sha256": "28c9ed51731fbfc71af9d084c587cfeb93914db26b9cf576b09055c3f4337c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12171",
    "kind": "arxiv",
    "version": 1
  }
}