Pith Number

pith:JKI3LU3R

pith:2015:JKI3LU3RT6LYSBB6MTWIT5G6AF

not attested not anchored not stored refs pending

On the growth of permutation classes

David Bevan

arxiv:1506.06688 v1 · 2015-06-22 · 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{JKI3LU3RT6LYSBB6MTWIT5G6AF}

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	2026-05-18T01:41:44.531494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a91b5d3719f9789043e64ec89f4de014cce6ab0f1b7bae51a65b33f410b0e02

Aliases

arxiv: 1506.06688 · arxiv_version: 1506.06688v1 · doi: 10.48550/arxiv.1506.06688 · pith_short_12: JKI3LU3RT6LY · pith_short_16: JKI3LU3RT6LYSBB6 · pith_short_8: JKI3LU3R

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/JKI3LU3RT6LYSBB6MTWIT5G6AF \
  | 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: 4a91b5d3719f9789043e64ec89f4de014cce6ab0f1b7bae51a65b33f410b0e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0aac254bc18a162cd2d3fa5905bc11a5fbd860117bbc825b5cccfe4431703b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-22T17:17:36Z",
    "title_canon_sha256": "e266c0ca8c9c5015c120c47860e210e87872e48374ba105980d649277144c430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06688",
    "kind": "arxiv",
    "version": 1
  }
}