Pith Number

pith:PZXKAXZ5

pith:2018:PZXKAXZ54UUHU72S3UTNC6WQUN

not attested not anchored not stored refs pending

On the exact maximum induced density of almost all graphs and their inducibility

Raphael Yuster

arxiv:1801.01047 v2 · 2018-01-03 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZXKAXZ54UUHU72S3UTNC6WQUN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:26:07.240272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6ea05f3de5287a7f52dd26d17ad0a36d431c237e40da0a2ca62d1b631f3bf6

Aliases

arxiv: 1801.01047 · arxiv_version: 1801.01047v2 · doi: 10.48550/arxiv.1801.01047 · pith_short_12: PZXKAXZ54UUH · pith_short_16: PZXKAXZ54UUHU72S · pith_short_8: PZXKAXZ5

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/PZXKAXZ54UUHU72S3UTNC6WQUN \
  | 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: 7e6ea05f3de5287a7f52dd26d17ad0a36d431c237e40da0a2ca62d1b631f3bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a6722542488de3c7f37b2fae2f393762d3b800b5c225221e1f1ad991162150",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-03T15:22:10Z",
    "title_canon_sha256": "3247960c7c0944fc694f59e40e60afa014992633af46d1193da04473cc6ae7e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01047",
    "kind": "arxiv",
    "version": 2
  }
}