Pith Number

pith:RLR3Y733

pith:2026:RLR3Y733OGYWEGJRCGUIN5FJDA

not attested not anchored not stored refs pending

Discrete-time treatment number of binary trees

Ann N. Trenk, Karen L. Collins, Margaret-Ellen Messinger

arxiv:2606.08338 v1 · 2026-06-06 · 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{RLR3Y733OGYWEGJRCGUIN5FJDA}

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	2026-06-09T01:05:33.956112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae3bc7f7b71b162193111a886f4a91835d5546aa9dfcf8146ed3862cc463091

Aliases

arxiv: 2606.08338 · arxiv_version: 2606.08338v1 · doi: 10.48550/arxiv.2606.08338 · pith_short_12: RLR3Y733OGYW · pith_short_16: RLR3Y733OGYWEGJR · pith_short_8: RLR3Y733

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/RLR3Y733OGYWEGJRCGUIN5FJDA \
  | 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: 8ae3bc7f7b71b162193111a886f4a91835d5546aa9dfcf8146ed3862cc463091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caef960aa16130d7fe74b0064b11f19e978d3554ca2b2f23c176b93d69246058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-06T21:03:54Z",
    "title_canon_sha256": "2b1721bf7544d6abc86c92f01dab873300b14a4bc6731e0d142919f64bf0af04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08338",
    "kind": "arxiv",
    "version": 1
  }
}