Pith Number

pith:R7QQPADR

pith:2017:R7QQPADRO6T6DZLERQRN7LL44U

not attested not anchored not stored refs pending

Generalized Tur\'an problems for even cycles

Abhishek Methuku, D\'aniel Gerbner, Ervin Gy\H{o}ri, M\'at\'e Vizer

arxiv:1712.07079 v3 · 2017-12-19 · 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{R7QQPADRO6T6DZLERQRN7LL44U}

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	2026-05-17T23:58:14.741415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe107807177a7e1e5648c22dfad7ce50be1136efc44957047ef4ee519123543

Aliases

arxiv: 1712.07079 · arxiv_version: 1712.07079v3 · doi: 10.48550/arxiv.1712.07079 · pith_short_12: R7QQPADRO6T6 · pith_short_16: R7QQPADRO6T6DZLE · pith_short_8: R7QQPADR

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/R7QQPADRO6T6DZLERQRN7LL44U \
  | 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: 8fe107807177a7e1e5648c22dfad7ce50be1136efc44957047ef4ee519123543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6a9d50fc728b61f39059afeac8a2007b5f1eaf50454fc94c584c943d145331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-19T17:52:43Z",
    "title_canon_sha256": "13a4b13fc9c2e6150e701134cf868f4ee4251947ea438f8473b483db86d84f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07079",
    "kind": "arxiv",
    "version": 3
  }
}