Pith Number

pith:RVZGKN7F

pith:2024:RVZGKN7FQXROAMYSJRPGW3GXOE

not attested not anchored not stored refs pending

A criterion for Andr\'{a}sfai--Erd\H{o}s--S\'{o}s type theorems and applications

Hongbin Zhao, Jianfeng Hou, Xizhi Liu

arxiv:2401.17219 v4 · 2024-01-30 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVZGKN7FQXROAMYSJRPGW3GXOE}

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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

Spectral generalized Tur\'{a}n problems

Receipt and verification

First computed	2026-07-05T08:21:12.168393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d726537e585e2e033124c5e6b6cd77104eb44e8b835dd91446ea3b7febc07b1

Aliases

arxiv: 2401.17219 · arxiv_version: 2401.17219v4 · doi: 10.48550/arxiv.2401.17219 · pith_short_12: RVZGKN7FQXRO · pith_short_16: RVZGKN7FQXROAMYS · pith_short_8: RVZGKN7F

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/RVZGKN7FQXROAMYSJRPGW3GXOE \
  | 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: 8d726537e585e2e033124c5e6b6cd77104eb44e8b835dd91446ea3b7febc07b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7879533d61efc32c471edadbb3bb0acf417234b1be02858f92ce8ab4abe9f2",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-30T18:05:11Z",
    "title_canon_sha256": "ad560b3ec55c4fc9cee5b50488515f8489ba8ec0f9174b83eea74154d6008d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.17219",
    "kind": "arxiv",
    "version": 4
  }
}