Pith Number

pith:XRC2MHYT

pith:2007:XRC2MHYTHXXX3SJLVKYRYOI2PO

not attested not anchored not stored refs pending

Operated semigroups, Motzkin paths and rooted trees

Li Guo

arxiv:0710.0429 v1 · 2007-10-02 · math.RA · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRC2MHYTHXXX3SJLVKYRYOI2PO}

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	2026-05-18T03:34:46.809984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc45a61f133def7dc92baab11c391a7ba3c4605c3910c55624780ea98041ce5a

Aliases

arxiv: 0710.0429 · arxiv_version: 0710.0429v1 · doi: 10.48550/arxiv.0710.0429 · pith_short_12: XRC2MHYTHXXX · pith_short_16: XRC2MHYTHXXX3SJL · pith_short_8: XRC2MHYT

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/XRC2MHYTHXXX3SJLVKYRYOI2PO \
  | 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: bc45a61f133def7dc92baab11c391a7ba3c4605c3910c55624780ea98041ce5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59dd1297ebc30233fa56ab58280a35ab458e89f832410f1799499705723e8219",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-10-02T02:54:13Z",
    "title_canon_sha256": "67a7f11214cbc1e84e355513bea4ac1cd333a9c4a45a1611422072d8970c7939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0429",
    "kind": "arxiv",
    "version": 1
  }
}