Pith Number

pith:XCR2MZYR

pith:2023:XCR2MZYRJ4B5XSFCK2U54U5IMA

not attested not anchored not stored refs pending

Polynomial invariants for rooted trees related to their random destruction

Fabian Burghart

arxiv:2302.08394 v3 · 2023-02-16 · 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{XCR2MZYRJ4B5XSFCK2U54U5IMA}

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	2026-07-05T09:16:06.258948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a3a667114f03dbc8a256a9de53a8603da6c6d437807534c2cc68d508250d02

Aliases

arxiv: 2302.08394 · arxiv_version: 2302.08394v3 · doi: 10.48550/arxiv.2302.08394 · pith_short_12: XCR2MZYRJ4B5 · pith_short_16: XCR2MZYRJ4B5XSFC · pith_short_8: XCR2MZYR

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/XCR2MZYRJ4B5XSFCK2U54U5IMA \
  | 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: b8a3a667114f03dbc8a256a9de53a8603da6c6d437807534c2cc68d508250d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376e7eea075c14209586604af98155db7862d371c3867e5780d3bee0a2431680",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-16T16:13:10Z",
    "title_canon_sha256": "d66af193081ea21cf481bcb768f305edb54cc7a4c2123e1d4ec15155acdf0251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08394",
    "kind": "arxiv",
    "version": 3
  }
}