Pith Number

pith:5YHHFB7P

pith:2016:5YHHFB7P5I3JXBVG52DMUISDX4

not attested not anchored not stored refs pending

Rationality for subclasses of 321-avoiding permutations

Michael H. Albert, Nik Ru\v{s}kuc, Robert Brignall, Vincent Vatter

arxiv:1602.00672 v3 · 2016-02-01 · 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{5YHHFB7P5I3JXBVG52DMUISDX4}

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	2026-05-17T23:57:07.948363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0e7287efea369b86a6ee86ca2243bf2a263d213d3d4084f2eb27e93bf81c35

Aliases

arxiv: 1602.00672 · arxiv_version: 1602.00672v3 · doi: 10.48550/arxiv.1602.00672 · pith_short_12: 5YHHFB7P5I3J · pith_short_16: 5YHHFB7P5I3JXBVG · pith_short_8: 5YHHFB7P

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/5YHHFB7P5I3JXBVG52DMUISDX4 \
  | 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: ee0e7287efea369b86a6ee86ca2243bf2a263d213d3d4084f2eb27e93bf81c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5b489af52a95a69896f0d9eeb7133b71db70058b9fba7fd2440d7e2668d332",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-01T20:44:33Z",
    "title_canon_sha256": "6c580ec500988a0e3c9c7903d3f526f3f0a45b63423052eaeb5676c2b26be07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00672",
    "kind": "arxiv",
    "version": 3
  }
}