Pith Number

pith:7UGXBNC3

pith:2026:7UGXBNC3V6C7K5ZR67NIR6ZAZB

not attested not anchored not stored refs pending

On the Tur\'an number of blow-ups of $\mathcal{F}_5$

D\'aniel Gerbner, Hilal Hama Karim, Junpeng Zhou, Shujing Miao, Xiamiao Zhao, Xin Cheng, Yichen Wang

arxiv:2605.22397 v1 · 2026-05-21 · 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{7UGXBNC3V6C7K5ZR67NIR6ZAZB}

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.

Receipt and verification

First computed	2026-05-22T01:04:41.490945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0d70b45baf85f57731f7da88fb20c8617a74625e7c50096bcb854e1d78dc6a

Aliases

arxiv: 2605.22397 · arxiv_version: 2605.22397v1 · doi: 10.48550/arxiv.2605.22397 · pith_short_12: 7UGXBNC3V6C7 · pith_short_16: 7UGXBNC3V6C7K5ZR · pith_short_8: 7UGXBNC3

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/7UGXBNC3V6C7K5ZR67NIR6ZAZB \
  | 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: fd0d70b45baf85f57731f7da88fb20c8617a74625e7c50096bcb854e1d78dc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e95ab22bddf40bb3c30e3f6d3891b161f10a08c93f0d8bf16f00aaa62d4472",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T12:30:55Z",
    "title_canon_sha256": "7558595ecbaf9995ed02aa72542816d95eaee7bc2e6648d169036aadd8defd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22397",
    "kind": "arxiv",
    "version": 1
  }
}