Pith Number

pith:T66B34BE

pith:2017:T66B34BELIR6YJMMJDTGTAUMTI

not attested not anchored not stored refs pending

Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection

Christian Stump, Martin Rubey

arxiv:1708.05092 v1 · 2017-08-16 · 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{T66B34BELIR6YJMMJDTGTAUMTI}

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	2026-05-18T00:37:53.870585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbc1df0245a23ec258c48e669828c9a140709c0bf5f3ac17f8865d8dfda93f9

Aliases

arxiv: 1708.05092 · arxiv_version: 1708.05092v1 · doi: 10.48550/arxiv.1708.05092 · pith_short_12: T66B34BELIR6 · pith_short_16: T66B34BELIR6YJMM · pith_short_8: T66B34BE

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/T66B34BELIR6YJMMJDTGTAUMTI \
  | 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: 9fbc1df0245a23ec258c48e669828c9a140709c0bf5f3ac17f8865d8dfda93f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab0acb4d232c358bb91652869c99dd67a6ae0738dba44af5519e50f9caa7c78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-16T21:56:42Z",
    "title_canon_sha256": "2cb7a45cf03da732831ab198f0e61712624c08c0d42f11d47d5a96b78dbacff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05092",
    "kind": "arxiv",
    "version": 1
  }
}