Pith Number

pith:BKXW43TE

pith:2018:BKXW43TEOSTFWTFYTTHP5BEBP3

not attested not anchored not stored refs pending

Triangles in $C_5$-free graphs and Hypergraphs of Girth Six

Abhishek Methuku, Beka Ergemlidze

arxiv:1811.11873 v1 · 2018-11-28 · 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{BKXW43TEOSTFWTFYTTHP5BEBP3}

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	2026-05-17T23:59:37.354215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aaf6e6e6474a65b4cb89ccefe84817ef0f83c92941ec1030460c2fa4645090d

Aliases

arxiv: 1811.11873 · arxiv_version: 1811.11873v1 · doi: 10.48550/arxiv.1811.11873 · pith_short_12: BKXW43TEOSTF · pith_short_16: BKXW43TEOSTFWTFY · pith_short_8: BKXW43TE

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/BKXW43TEOSTFWTFYTTHP5BEBP3 \
  | 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: 0aaf6e6e6474a65b4cb89ccefe84817ef0f83c92941ec1030460c2fa4645090d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e296dd70dbf3ce24c29e15e8db151d349aba212c0b35aef9eadd7e0cd3e931f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-28T23:06:39Z",
    "title_canon_sha256": "21d8cebcc82aa58d10655a5fae620a97b23594671707343ddbca62797b69a122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11873",
    "kind": "arxiv",
    "version": 1
  }
}