Pith Number

pith:2U2PDEGQ

pith:2018:2U2PDEGQ22FJHL5F7FX4GINTYM

not attested not anchored not stored refs pending

Combinatorial Identities Deriving From The $N$-th Power Of A $2\Times 2$ Matrix

James Mc Laughlin

arxiv:1812.11168 v1 · 2018-12-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2U2PDEGQ22FJHL5F7FX4GINTYM}

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	2026-05-17T23:57:16.206388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d534f190d0d68a93afa5f96fc321b3c332aaeef3016640a6c912d1319a00eee8

Aliases

arxiv: 1812.11168 · arxiv_version: 1812.11168v1 · doi: 10.48550/arxiv.1812.11168 · pith_short_12: 2U2PDEGQ22FJ · pith_short_16: 2U2PDEGQ22FJHL5F · pith_short_8: 2U2PDEGQ

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/2U2PDEGQ22FJHL5F7FX4GINTYM \
  | 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: d534f190d0d68a93afa5f96fc321b3c332aaeef3016640a6c912d1319a00eee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e736e27c1c053d3f6c2fae30230ddecf74a6c345b0de2053cb660669099047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-28T18:52:54Z",
    "title_canon_sha256": "519d261b1d2f6abbad419db01d4339f87258effa66b81d511c3bf95447355d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11168",
    "kind": "arxiv",
    "version": 1
  }
}