Pith Number

pith:CAW5MN37

pith:2019:CAW5MN374NIMHFPHAZRO7FHR2Z

not attested not anchored not stored refs pending

On the Erd{\H o}s--Hajnal problem in the case of 3-graphs

Danila Cherkashin

arxiv:1905.02893 v2 · 2019-05-07 · 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{CAW5MN374NIMHFPHAZRO7FHR2Z}

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	2026-05-17T23:40:55.136207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102dd6377fe350c395e70662ef94f1d67ece04d0863a7971ce4577ec0585e688

Aliases

arxiv: 1905.02893 · arxiv_version: 1905.02893v2 · doi: 10.48550/arxiv.1905.02893 · pith_short_12: CAW5MN374NIM · pith_short_16: CAW5MN374NIMHFPH · pith_short_8: CAW5MN37

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/CAW5MN374NIMHFPHAZRO7FHR2Z \
  | 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: 102dd6377fe350c395e70662ef94f1d67ece04d0863a7971ce4577ec0585e688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fad42abbd79190e5e5beca7723f6e3b7046eaa96d855ede66ecfcd3f4c24ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-07T13:42:08Z",
    "title_canon_sha256": "f8d9d489a0a7608fa01059069c44c11f8a5d84470c3ef8fa0849042d34b7536c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02893",
    "kind": "arxiv",
    "version": 2
  }
}