Pith Number

pith:IPLHV2EW

pith:2013:IPLHV2EWH6FQP5OBP2RHCCISY2

not attested not anchored not stored refs pending

Multiple isolation of nodes in recursive trees

Alois Panholzer, Markus Kuba

arxiv:1305.2880 v1 · 2013-05-13 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPLHV2EWH6FQP5OBP2RHCCISY2}

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	2026-05-18T03:25:47.023002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d67ae8963f8b07f5c17ea2710912c696dcf5a58cc34552ad8f9dc9b64228de

Aliases

arxiv: 1305.2880 · arxiv_version: 1305.2880v1 · doi: 10.48550/arxiv.1305.2880 · pith_short_12: IPLHV2EWH6FQ · pith_short_16: IPLHV2EWH6FQP5OB · pith_short_8: IPLHV2EW

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/IPLHV2EWH6FQP5OBP2RHCCISY2 \
  | 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: 43d67ae8963f8b07f5c17ea2710912c696dcf5a58cc34552ad8f9dc9b64228de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c9225a1ab081da2a52149f59ee0fcfeb858a1ad0d482bc0d65740cba249708",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-13T18:09:46Z",
    "title_canon_sha256": "80ed522c7ba5cf37f38dac83a3a617f6d842ddaec75efabe1d6dfdadbed85a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2880",
    "kind": "arxiv",
    "version": 1
  }
}