Pith Number

pith:ROROSITM

pith:2015:ROROSITM3UXFQNZS4S4TYFXXNE

not attested not anchored not stored refs pending

Q-polynomial invariant of rooted trees

Jozef H. Przytycki

arxiv:1512.03080 v1 · 2015-12-09 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROROSITM3UXFQNZS4S4TYFXXNE}

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	2026-05-18T01:24:37.927745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ba2e9226cdd2e583732e4b93c16f7692d829c2ab60d7755a4add174605ef89b

Aliases

arxiv: 1512.03080 · arxiv_version: 1512.03080v1 · doi: 10.48550/arxiv.1512.03080 · pith_short_12: ROROSITM3UXF · pith_short_16: ROROSITM3UXFQNZS · pith_short_8: ROROSITM

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/ROROSITM3UXFQNZS4S4TYFXXNE \
  | 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: 8ba2e9226cdd2e583732e4b93c16f7692d829c2ab60d7755a4add174605ef89b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a578ac7ea24b45ec81114bfbac87b33a90e61caa8627479e3853d27266e45b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-09T21:19:41Z",
    "title_canon_sha256": "50ca626dd9ce3706b5571806849910bc251b718cec55590595dd77df9459dadb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03080",
    "kind": "arxiv",
    "version": 1
  }
}