Pith Number

pith:VTKPWZJY

pith:2018:VTKPWZJY7KUC32G27J5PBLAYR4

not attested not anchored not stored refs pending

Left-Right Pairs and Complex Forests of Infinite Rooted Binary Trees

Nina Zubrilina

arxiv:1810.04349 v1 · 2018-10-10 · 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{VTKPWZJY7KUC32G27J5PBLAYR4}

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	2026-05-18T00:03:40.349208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd4fb6538faa82de8dafa7af0ac188f0f9d60f370901af6800c5d6b8a469473

Aliases

arxiv: 1810.04349 · arxiv_version: 1810.04349v1 · doi: 10.48550/arxiv.1810.04349 · pith_short_12: VTKPWZJY7KUC · pith_short_16: VTKPWZJY7KUC32G2 · pith_short_8: VTKPWZJY

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/VTKPWZJY7KUC32G27J5PBLAYR4 \
  | 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: acd4fb6538faa82de8dafa7af0ac188f0f9d60f370901af6800c5d6b8a469473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467d36a5baf8753981e26c20bf39812351f10092be74abc83942470efbcbe5b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-10T03:15:17Z",
    "title_canon_sha256": "f325fe17b26095707cfb3d70bb4e0b6f961c5277fa3c6d7373432bf73ff3f928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04349",
    "kind": "arxiv",
    "version": 1
  }
}