Pith Number

pith:23DCWM4N

pith:2018:23DCWM4NILT72ZQ5LMZLAXKHOR

not attested not anchored not stored refs pending

Powers of a matrix and combinatorial identities

B. Sury, James Mc Laughlin

arxiv:1812.11279 v1 · 2018-12-29 · 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{23DCWM4NILT72ZQ5LMZLAXKHOR}

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	2026-05-17T23:57:12.352347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c62b338d42e7fd661d5b32b05d47747bb0d11835e84fa5290d3909860c4f17

Aliases

arxiv: 1812.11279 · arxiv_version: 1812.11279v1 · doi: 10.48550/arxiv.1812.11279 · pith_short_12: 23DCWM4NILT7 · pith_short_16: 23DCWM4NILT72ZQ5 · pith_short_8: 23DCWM4N

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/23DCWM4NILT72ZQ5LMZLAXKHOR \
  | 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: d6c62b338d42e7fd661d5b32b05d47747bb0d11835e84fa5290d3909860c4f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55913f2c6db94e8d1c8d14f29bd9dc41610b2ee6d6dc9d7ac87d04b667f5763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-29T03:48:33Z",
    "title_canon_sha256": "8c7492874bc101b948b47e26ff401b33262a42569c8f4de3b78ac3b62dcce048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11279",
    "kind": "arxiv",
    "version": 1
  }
}