Pith Number

pith:Z2Q4AXSV

pith:2019:Z2Q4AXSVHA4HB7E3UJ6F4YFXFU

not attested not anchored not stored refs pending

Consecutive patterns in inversion sequences II: avoiding patterns of relations

Juan S. Auli, Sergi Elizalde

arxiv:1906.07365 v1 · 2019-06-18 · 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{Z2Q4AXSVHA4HB7E3UJ6F4YFXFU}

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	2026-05-17T23:43:08.089039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea1c05e55383870fc9ba27c5e60b72d379fbab876c991cc27533511e5b0de01

Aliases

arxiv: 1906.07365 · arxiv_version: 1906.07365v1 · doi: 10.48550/arxiv.1906.07365 · pith_short_12: Z2Q4AXSVHA4H · pith_short_16: Z2Q4AXSVHA4HB7E3 · pith_short_8: Z2Q4AXSV

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/Z2Q4AXSVHA4HB7E3UJ6F4YFXFU \
  | 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: cea1c05e55383870fc9ba27c5e60b72d379fbab876c991cc27533511e5b0de01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678aaddafbcee893dc0767d70160ee7894cba6d4c5228089d9f717514c94d70d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-18T03:55:37Z",
    "title_canon_sha256": "86b97497e58a6707d25ba661324df8af75bba3c0d1a2512d6c9f6bc62fcc1202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07365",
    "kind": "arxiv",
    "version": 1
  }
}