Pith Number

pith:GOL27GWA

pith:2016:GOL27GWA7XOCKYSS4TG6GHXHGM

not attested not anchored not stored refs pending

A sextuple equidistribution arising in Pattern Avoidance

Dongsu Kim, Zhicong Lin

arxiv:1612.02964 v2 · 2016-12-09 · 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{GOL27GWA7XOCKYSS4TG6GHXHGM}

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	2026-05-18T00:54:47.095452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3397af9ac0fddc256252e4cde31ee733343d198abe9a422505854058134e5db8

Aliases

arxiv: 1612.02964 · arxiv_version: 1612.02964v2 · doi: 10.48550/arxiv.1612.02964 · pith_short_12: GOL27GWA7XOC · pith_short_16: GOL27GWA7XOCKYSS · pith_short_8: GOL27GWA

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/GOL27GWA7XOCKYSS4TG6GHXHGM \
  | 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: 3397af9ac0fddc256252e4cde31ee733343d198abe9a422505854058134e5db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467bc5f9f917488fb533fcd12b06810389580196c4bd0a9a16613f7bf2f5861e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-09T10:12:28Z",
    "title_canon_sha256": "a9189f303b7a605200720a7b9efb3ddb89c9aaae584dc9873ad34bc8300433b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02964",
    "kind": "arxiv",
    "version": 2
  }
}