Pith Number

pith:K7AFXW6I

pith:2011:K7AFXW6ITJ63JHDU3TTCMU5C76

not attested not anchored not stored refs pending

Pattern Avoidance in Ternary Trees

Katherine Peske, Lara Pudwell, Nathan Gabriel, Samuel Tay

arxiv:1110.2225 v2 · 2011-10-10 · 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{K7AFXW6ITJ63JHDU3TTCMU5C76}

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	2026-05-18T04:05:38.229801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c05bdbc89a7db49c74dce62653a2ff8c7ce8251dd17ea31b60659afdbeedf1

Aliases

arxiv: 1110.2225 · arxiv_version: 1110.2225v2 · doi: 10.48550/arxiv.1110.2225 · pith_short_12: K7AFXW6ITJ63 · pith_short_16: K7AFXW6ITJ63JHDU · pith_short_8: K7AFXW6I

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/K7AFXW6ITJ63JHDU3TTCMU5C76 \
  | 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: 57c05bdbc89a7db49c74dce62653a2ff8c7ce8251dd17ea31b60659afdbeedf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b508c73ae93f82ef1a6763498a966c7ae655a73efaeb1d4d26aabcd8198c9a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-10T22:43:18Z",
    "title_canon_sha256": "e983d2d1246b89959bceec088931867441b2446d96181bc05af9c643bc782cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2225",
    "kind": "arxiv",
    "version": 2
  }
}