Pith Number

pith:JSKWQEUH

pith:2018:JSKWQEUHY36ODALAEH6CZ22KEX

not attested not anchored not stored refs pending

Dense induced bipartite subgraphs in triangle-free graphs

Benny Sudakov, Matthew Kwan, Shoham Letzter, Tuan Tran

arxiv:1810.12144 v3 · 2018-10-29 · 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{JSKWQEUHY36ODALAEH6CZ22KEX}

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	2026-05-17T23:41:17.763394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c95681287c6fce1816021fc2ceb4a25f5de2d0fb7afcb04f23f94cc539e0ff9

Aliases

arxiv: 1810.12144 · arxiv_version: 1810.12144v3 · doi: 10.48550/arxiv.1810.12144 · pith_short_12: JSKWQEUHY36O · pith_short_16: JSKWQEUHY36ODALA · pith_short_8: JSKWQEUH

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/JSKWQEUHY36ODALAEH6CZ22KEX \
  | 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: 4c95681287c6fce1816021fc2ceb4a25f5de2d0fb7afcb04f23f94cc539e0ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d4a3e4a0c2c6fde06ce396ab8a06879d2b75357a77b46206eb4fde1b1a92603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-29T14:26:28Z",
    "title_canon_sha256": "1bc80909893d516a8fb61a921c08919d7d87ae6e8431b1fc17edb209ac9e4bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12144",
    "kind": "arxiv",
    "version": 3
  }
}