Pith Number

pith:DVM3FHJF

pith:2019:DVM3FHJFQYUJIU62SJHZSUIX52

not attested not anchored not stored refs pending

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations

Hanna Mularczyk

arxiv:1908.04025 v4 · 2019-08-12 · 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{DVM3FHJFQYUJIU62SJHZSUIX52}

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	2026-07-05T06:23:27.770184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d59b29d2586289453da924f995117ee88f5c1a710dbb1f1f47fd446c20a7401

Aliases

arxiv: 1908.04025 · arxiv_version: 1908.04025v4 · doi: 10.48550/arxiv.1908.04025 · pith_short_12: DVM3FHJFQYUJ · pith_short_16: DVM3FHJFQYUJIU62 · pith_short_8: DVM3FHJF

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/DVM3FHJFQYUJIU62SJHZSUIX52 \
  | 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: 1d59b29d2586289453da924f995117ee88f5c1a710dbb1f1f47fd446c20a7401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0bfa725485f5eb9befcc592829fd3e089d6ba57d30432edf1bf58be54e46f69",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-12T06:54:40Z",
    "title_canon_sha256": "1950484177a8975c923557991bfdd145cbb106b6748f0c01f87abaafd64008d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04025",
    "kind": "arxiv",
    "version": 4
  }
}