Pith Number

pith:C6PG6P2S

pith:2017:C6PG6P2SH5OMFE7V2LUVFZ2YC6

not attested not anchored not stored refs pending

On the Tur\'an number of some ordered even cycles

Abhishek Methuku, Casey Tompkins, D\'aniel Kor\'andi, Ervin Gy\H{o}ri, Istv\'an Tomon, M\'at\'e Vizer

arxiv:1710.07664 v2 · 2017-10-20 · 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{C6PG6P2SH5OMFE7V2LUVFZ2YC6}

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	2026-05-18T00:10:39.008799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179e6f3f523f5cc293f5d2e952e75817a447c6cf9793a0a099912572649bb315

Aliases

arxiv: 1710.07664 · arxiv_version: 1710.07664v2 · doi: 10.48550/arxiv.1710.07664 · pith_short_12: C6PG6P2SH5OM · pith_short_16: C6PG6P2SH5OMFE7V · pith_short_8: C6PG6P2S

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/C6PG6P2SH5OMFE7V2LUVFZ2YC6 \
  | 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: 179e6f3f523f5cc293f5d2e952e75817a447c6cf9793a0a099912572649bb315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "600173b8d66d13b8f686a5ae7bfd215b76375198c997a52149fd47bd5c6a8e24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-20T18:46:16Z",
    "title_canon_sha256": "c83fc4c79a8a0e5e89e284c16895c7fa3a4af9df86b6520b766f46669a1b45e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07664",
    "kind": "arxiv",
    "version": 2
  }
}