Pith Number

pith:DESQKKHI

pith:2005:DESQKKHIVI7CICDJVSS7TFWNFD

not attested not anchored not stored refs pending

A Generalized Enumeration of Labeled Trees and Reverse Pr\"ufer Algorithm

Heesung Shin, Seunghyun Seo

arxiv:math/0601009 v1 · 2005-12-31 · 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{DESQKKHIVI7CICDJVSS7TFWNFD}

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	2026-07-05T04:07:01.543913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19250528e8aa3e240869aca5f996cd28f41b122eda456484e8b703a5ca47cf9f

Aliases

arxiv: math/0601009 · arxiv_version: math/0601009v1 · doi: 10.48550/arxiv.math/0601009 · pith_short_12: DESQKKHIVI7C · pith_short_16: DESQKKHIVI7CICDJ · pith_short_8: DESQKKHI

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/DESQKKHIVI7CICDJVSS7TFWNFD \
  | 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: 19250528e8aa3e240869aca5f996cd28f41b122eda456484e8b703a5ca47cf9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d644a7e4e732bff4e8b0558d982612612a1c4656439ca368f15a2cf4ab7ae5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-12-31T06:14:56Z",
    "title_canon_sha256": "d369f5876d293bc0ac5c112cb34410eaed546d98751dda4ba3e6920907774747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601009",
    "kind": "arxiv",
    "version": 1
  }
}