Pith Number

pith:O5SG3DPR

pith:2018:O5SG3DPR4ABVY6E756K2MFML6H

not attested not anchored not stored refs pending

Further Combinatorial Identities deriving from the $n$-th power of a $2 \times 2$ matrix

James Mc Laughlin, Nancy J. Wyshinski

arxiv:1901.00476 v1 · 2018-12-28 · 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{O5SG3DPR4ABVY6E756K2MFML6H}

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	2026-05-17T23:57:03.726863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77646d8df1e0035c789fef95a6158bf1c5dfc4936e44fd689b064c968f4d2b61

Aliases

arxiv: 1901.00476 · arxiv_version: 1901.00476v1 · doi: 10.48550/arxiv.1901.00476 · pith_short_12: O5SG3DPR4ABV · pith_short_16: O5SG3DPR4ABVY6E7 · pith_short_8: O5SG3DPR

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/O5SG3DPR4ABVY6E756K2MFML6H \
  | 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: 77646d8df1e0035c789fef95a6158bf1c5dfc4936e44fd689b064c968f4d2b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ff771e9d49c2fd0a4519006de7113d2f8723971db6facd9c3b27153ecb9d0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-28T21:51:52Z",
    "title_canon_sha256": "59daf57ee443f3ab777ff1344ad57c57c461c9eed661c951fc634d2581e18bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00476",
    "kind": "arxiv",
    "version": 1
  }
}