Pith Number

pith:JW6ODBC2

pith:2015:JW6ODBC2CKDMERET3NPYIGLHES

not attested not anchored not stored refs pending

Arithmetic for Rooted Trees

Fabrizio Luccio

arxiv:1510.05512 v3 · 2015-10-19 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW6ODBC2CKDMERET3NPYIGLHES}

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	2026-05-18T01:21:36.878733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dbce1845a1286c24493db5f84196724a66af3d683e006da16f5134a81298eda

Aliases

arxiv: 1510.05512 · arxiv_version: 1510.05512v3 · doi: 10.48550/arxiv.1510.05512 · pith_short_12: JW6ODBC2CKDM · pith_short_16: JW6ODBC2CKDMERET · pith_short_8: JW6ODBC2

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/JW6ODBC2CKDMERET3NPYIGLHES \
  | 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: 4dbce1845a1286c24493db5f84196724a66af3d683e006da16f5134a81298eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3529999d8cba7c43d88781205ab64e4bb38f4501a9b667e404f0307b45561a70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-10-19T15:04:27Z",
    "title_canon_sha256": "c4184d637ebd51a4aeac67d7a92e17594e6b21618d09a14f8ca68419b895b225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05512",
    "kind": "arxiv",
    "version": 3
  }
}