Pith Number

pith:OAYZGIMT

pith:2024:OAYZGIMTSLCTCC3JPHZB5LNOQJ

not attested not anchored not stored refs pending

Tur\'an numbers for non-bipartite graphs and applications to spectral extremal problems

Longfei Fang, Michael Tait, Mingqing Zhai

arxiv:2404.09069 v1 · 2024-04-13 · 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{OAYZGIMTSLCTCC3JPHZB5LNOQJ}

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

Spectral Tur\'{a}n problem of non-bipartite graphs: Forbidden books

Receipt and verification

First computed	2026-07-05T08:07:44.805628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703193219392c5310b6979f21eadae8252759e3870ddb42cf0892d622d484e3f

Aliases

arxiv: 2404.09069 · arxiv_version: 2404.09069v1 · doi: 10.48550/arxiv.2404.09069 · pith_short_12: OAYZGIMTSLCT · pith_short_16: OAYZGIMTSLCTCC3J · pith_short_8: OAYZGIMT

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/OAYZGIMTSLCTCC3JPHZB5LNOQJ \
  | 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: 703193219392c5310b6979f21eadae8252759e3870ddb42cf0892d622d484e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef579db523c285c51578493850d63b2245cad65a6b3fc027e2bf06e9286e4ded",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-13T19:35:50Z",
    "title_canon_sha256": "defa2482cd5beb7a2bee928c7b0b98f1e2c75c08ad07ec3272a08cf08bfd6f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.09069",
    "kind": "arxiv",
    "version": 1
  }
}