Pith Number

pith:ZUIVW2DS

pith:2016:ZUIVW2DSKQGV2BX3H3JWEDAB2I

not attested not anchored not stored refs pending

On the growth of merges and staircases of permutation classes

Jay Pantone, Michael Albert, Vincent Vatter

arxiv:1608.06969 v1 · 2016-08-24 · 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{ZUIVW2DSKQGV2BX3H3JWEDAB2I}

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	2026-05-18T01:07:56.390500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd115b6872540d5d06fb3ed3620c01d20844a2297ff31ced44f60c5d62014d98

Aliases

arxiv: 1608.06969 · arxiv_version: 1608.06969v1 · doi: 10.48550/arxiv.1608.06969 · pith_short_12: ZUIVW2DSKQGV · pith_short_16: ZUIVW2DSKQGV2BX3 · pith_short_8: ZUIVW2DS

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/ZUIVW2DSKQGV2BX3H3JWEDAB2I \
  | 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: cd115b6872540d5d06fb3ed3620c01d20844a2297ff31ced44f60c5d62014d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a6aae8905d750c471a2d6001f813a467c9258cf5fa02186f8585fe5c637064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-24T21:11:44Z",
    "title_canon_sha256": "b7637685d2ac33e958f92ee5124021d872cc6138bc93dc178e8e6f9b8d7b57b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06969",
    "kind": "arxiv",
    "version": 1
  }
}