Pith Number

pith:ZAKWAXJX

pith:2019:ZAKWAXJXSSAJULAE2Q7ZAJPYF2

not attested not anchored not stored refs pending

Induced Saturation of $P_{6}$

Eero Raty

arxiv:1901.09801 v1 · 2019-01-28 · 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{ZAKWAXJXSSAJULAE2Q7ZAJPYF2}

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.

Cited by

1 paper in Pith

On induced saturation for paths

Receipt and verification

First computed	2026-05-17T23:55:23.796829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c815605d3794809a2c04d43f9025f82e93f4c2a07b962782ad40fa78dc1ebdc7

Aliases

arxiv: 1901.09801 · arxiv_version: 1901.09801v1 · doi: 10.48550/arxiv.1901.09801 · pith_short_12: ZAKWAXJXSSAJ · pith_short_16: ZAKWAXJXSSAJULAE · pith_short_8: ZAKWAXJX

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/ZAKWAXJXSSAJULAE2Q7ZAJPYF2 \
  | 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: c815605d3794809a2c04d43f9025f82e93f4c2a07b962782ad40fa78dc1ebdc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10455f1120212d145a3ad799ab9f636f8fdbee89acd45a352ed9652d91030106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-28T16:50:54Z",
    "title_canon_sha256": "fed45687ea9955641b0d6aba7cc25c7b3b2ca35361083052421d50e18330b6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09801",
    "kind": "arxiv",
    "version": 1
  }
}