Pith Number

pith:5WGXG7FV

pith:2014:5WGXG7FVRRV4D6X3UFFHYZ6LH7

not attested not anchored not stored refs pending

Short catalog of plane ten-edge trees

Yury Kochetkov

arxiv:1412.2472 v1 · 2014-12-08 · 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{5WGXG7FVRRV4D6X3UFFHYZ6LH7}

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	2026-05-18T02:31:57.882541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8d737cb58c6bc1fafba14a7c67cb3fcffc6c092373d8e53850af775e208727

Aliases

arxiv: 1412.2472 · arxiv_version: 1412.2472v1 · doi: 10.48550/arxiv.1412.2472 · pith_short_12: 5WGXG7FVRRV4 · pith_short_16: 5WGXG7FVRRV4D6X3 · pith_short_8: 5WGXG7FV

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/5WGXG7FVRRV4D6X3UFFHYZ6LH7 \
  | 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: ed8d737cb58c6bc1fafba14a7c67cb3fcffc6c092373d8e53850af775e208727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db18f242fc07f52cd9ec469eb62e30f581efff09950f2b6fa53ee176d12a0ca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-08T07:56:58Z",
    "title_canon_sha256": "80ed4fcd4368784d1d68ea6c3fe17ad893da6c0a68ab7bba98fdf17dcf21da7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2472",
    "kind": "arxiv",
    "version": 1
  }
}