Pith Number

pith:DXIRR5FS

pith:2017:DXIRR5FSN3L75VJMLYQVCFU2AS

not attested not anchored not stored refs pending

$H$-free subgraphs of dense graphs maximizing the number of cliques and their blow-ups

Clara Shikhelman, Noga Alon

arxiv:1706.05642 v1 · 2017-06-18 · 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{DXIRR5FSN3L75VJMLYQVCFU2AS}

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	2026-05-18T00:42:09.314150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd118f4b26ed7fed52c5e2151169a04a2d85dbd45d864a0ecaeabb73f11856b

Aliases

arxiv: 1706.05642 · arxiv_version: 1706.05642v1 · doi: 10.48550/arxiv.1706.05642 · pith_short_12: DXIRR5FSN3L7 · pith_short_16: DXIRR5FSN3L75VJM · pith_short_8: DXIRR5FS

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/DXIRR5FSN3L75VJMLYQVCFU2AS \
  | 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: 1dd118f4b26ed7fed52c5e2151169a04a2d85dbd45d864a0ecaeabb73f11856b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3334fdfa404e309045502a551da72e15600213ced0739a9d8afc33315fc63e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-18T13:01:12Z",
    "title_canon_sha256": "c4ae1b7029ae84964f8ce7896c7c665f1a330fb351d65ebefcab60279aa3cee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05642",
    "kind": "arxiv",
    "version": 1
  }
}