Pith Number

pith:6GZULANZ

pith:2019:6GZULANZ6CNDHCTZ34P7SG23HV

not attested not anchored not stored refs pending

A Combinatorial Identity for Rooted Labeled Forests

Benjamin Hackl

arxiv:1902.06627 v2 · 2019-02-18 · 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{6GZULANZ6CNDHCTZ34P7SG23HV}

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	2026-05-17T23:41:00.833301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b34581b9f09a338a79df1ff91b5b3d59fa36bac5663131851b1af9c80756c8

Aliases

arxiv: 1902.06627 · arxiv_version: 1902.06627v2 · doi: 10.48550/arxiv.1902.06627 · pith_short_12: 6GZULANZ6CND · pith_short_16: 6GZULANZ6CNDHCTZ · pith_short_8: 6GZULANZ

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/6GZULANZ6CNDHCTZ34P7SG23HV \
  | 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: f1b34581b9f09a338a79df1ff91b5b3d59fa36bac5663131851b1af9c80756c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c11aad64ba75fc97236d8e4c12b6ab1ae378008c4a3f9965d7d0be855db6000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-18T16:01:43Z",
    "title_canon_sha256": "8a09d000283a04f91c1ea909867f105984787157b6d92436941a8b98caaaa797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06627",
    "kind": "arxiv",
    "version": 2
  }
}