Pith Number

pith:QC4JIVLI

pith:2010:QC4JIVLIWGTZIANKALUPMTKGAK

not attested not anchored not stored refs pending

A combinatorial proof of Guo's multi-generalization of Munarini's identity

Dan-Mei Yang

arxiv:1011.6018 v1 · 2010-11-28 · 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{QC4JIVLIWGTZIANKALUPMTKGAK}

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	2026-05-18T04:34:36.573245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b8945568b1a79401aa02e8f64d4602a81dec0efbc0d96a4ccc0832aae3f6f1

Aliases

arxiv: 1011.6018 · arxiv_version: 1011.6018v1 · doi: 10.48550/arxiv.1011.6018 · pith_short_12: QC4JIVLIWGTZ · pith_short_16: QC4JIVLIWGTZIANK · pith_short_8: QC4JIVLI

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/QC4JIVLIWGTZIANKALUPMTKGAK \
  | 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: 80b8945568b1a79401aa02e8f64d4602a81dec0efbc0d96a4ccc0832aae3f6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3210dae346cfd89f9ce3d35dac43df3409cd90c090500a81113a3099a5575f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-28T08:14:42Z",
    "title_canon_sha256": "af3ef04fba5db71a9d7e2c16628ddc607da9f41c3e9b84b1db3e07ab17861010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6018",
    "kind": "arxiv",
    "version": 1
  }
}