Pith Number

pith:MQPI4KGW

pith:2024:MQPI4KGWC7TFQVQ3IIEPTGH5H7

not attested not anchored not stored refs pending

The Tur\'an density of the tight 5-cycle minus one edge

Jared Le\'on, Levente Bodn\'ar, Oleg Pikhurko, Xizhi Liu

arxiv:2412.21011 v3 · 2024-12-30 · 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{MQPI4KGWC7TFQVQ3IIEPTGH5H7}

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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

2 papers in Pith

Tur\'an numbers of $4$-uniform tight even cycles minus one edge

A note on the $t$-partite link problem of F\"uredi

Receipt and verification

First computed	2026-07-05T11:34:03.336539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641e8e28d617e658561b4208f998fd3fcc30ce8604f1a6f5dfc91303c0162bd4

Aliases

arxiv: 2412.21011 · arxiv_version: 2412.21011v3 · doi: 10.48550/arxiv.2412.21011 · pith_short_12: MQPI4KGWC7TF · pith_short_16: MQPI4KGWC7TFQVQ3 · pith_short_8: MQPI4KGW

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/MQPI4KGWC7TFQVQ3IIEPTGH5H7 \
  | 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: 641e8e28d617e658561b4208f998fd3fcc30ce8604f1a6f5dfc91303c0162bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e495ce69583e4e7f521c0383bcbf0dbb8a9ce275fa109f48f690cd60b279ebc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-30T15:25:01Z",
    "title_canon_sha256": "a58dc89efb2764db74e6ba2919649c2bcf7cd8e2122d808f083d7da2f8369562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21011",
    "kind": "arxiv",
    "version": 3
  }
}