Pith Number

pith:LW6VXL2D

pith:2018:LW6VXL2DWQFECSX5MLMHNV6PLQ

not attested not anchored not stored refs pending

Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations

Mark Dukes, Peter R. W. McNamara

arxiv:1807.11505 v2 · 2018-07-30 · 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{LW6VXL2DWQFECSX5MLMHNV6PLQ}

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	2026-05-17T23:45:15.406794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbd5baf43b40a414afd62d876d7cf5c0699724a1db5e8dd6f24c468a375c16e

Aliases

arxiv: 1807.11505 · arxiv_version: 1807.11505v2 · doi: 10.48550/arxiv.1807.11505 · pith_short_12: LW6VXL2DWQFE · pith_short_16: LW6VXL2DWQFECSX5 · pith_short_8: LW6VXL2D

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/LW6VXL2DWQFECSX5MLMHNV6PLQ \
  | 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: 5dbd5baf43b40a414afd62d876d7cf5c0699724a1db5e8dd6f24c468a375c16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bab49a6e329e75b576c4a0be10001e12c01aa2b2df2611165cb6747ea40ab5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-30T18:01:37Z",
    "title_canon_sha256": "9c12c1c5affcb6772d51427116b54c6706d1187a11305225853bb19f31e5dc3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11505",
    "kind": "arxiv",
    "version": 2
  }
}