Pith Number

pith:PP2TZPPX

pith:2021:PP2TZPPXR3YZJC434ESB5W3QWB

not attested not anchored not stored refs pending

Cyclic Pattern Containment and Avoidance

Alexander Sietsema, Bruce E. Sagan, Jamie Schmidt, Jinting Liang, Quinn Minnich, Rachel Domagalski

arxiv:2106.02534 v1 · 2021-06-04 · 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{PP2TZPPXR3YZJC434ESB5W3QWB}

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	2026-07-05T02:46:20.671143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf53cbdf78ef1948b9be1241edb70b04b741d9b0d34eecacba3367cf239b51a

Aliases

arxiv: 2106.02534 · arxiv_version: 2106.02534v1 · doi: 10.48550/arxiv.2106.02534 · pith_short_12: PP2TZPPXR3YZ · pith_short_16: PP2TZPPXR3YZJC43 · pith_short_8: PP2TZPPX

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/PP2TZPPXR3YZJC434ESB5W3QWB \
  | 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: 7bf53cbdf78ef1948b9be1241edb70b04b741d9b0d34eecacba3367cf239b51a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bcf3362a3ab93fd6f4c33cea09a8de6160649d9ba5b54dca0451125e0ed4fc5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-04T15:02:48Z",
    "title_canon_sha256": "4fe3dedbd3e8521920e6809ecf8c8980c5800a701019d740c181dd313e39b8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02534",
    "kind": "arxiv",
    "version": 1
  }
}