Pith Number

pith:O4HOPNJ7

pith:2019:O4HOPNJ7TTJRVRSIVWZWEETTGD

not attested not anchored not stored refs pending

The hafnian of Toeplitz matrices of a special type, perfect matchings and Bessel polynomials

Dmitry Efimov

arxiv:1904.08651 v1 · 2019-04-18 · 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{O4HOPNJ7TTJRVRSIVWZWEETTGD}

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	2026-05-17T23:48:13.545267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770ee7b53f9cd31ac648adb362127330d688e748b3038eafdb0ccd0d983eab3f

Aliases

arxiv: 1904.08651 · arxiv_version: 1904.08651v1 · doi: 10.48550/arxiv.1904.08651 · pith_short_12: O4HOPNJ7TTJR · pith_short_16: O4HOPNJ7TTJRVRSI · pith_short_8: O4HOPNJ7

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/O4HOPNJ7TTJRVRSIVWZWEETTGD \
  | 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: 770ee7b53f9cd31ac648adb362127330d688e748b3038eafdb0ccd0d983eab3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b643247d8f5bd3cbce4a750a624071381d640afd3e488d7d41deaacc9f23a55a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-18T09:27:19Z",
    "title_canon_sha256": "dd815cedf8e82eaa1853a618e09fe6e66fc83b91abd2ff780453c5e4a174e1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08651",
    "kind": "arxiv",
    "version": 1
  }
}