Pith Number

pith:CKXFRFKY

pith:2016:CKXFRFKY5ZAXJ5R3XPBPMAEIAA

not attested not anchored not stored refs pending

Fractal generalized Pascal matrices

E. Burlachenko

arxiv:1612.00970 v1 · 2016-12-03 · 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{CKXFRFKY5ZAXJ5R3XPBPMAEIAA}

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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.

Cited by

1 paper in Pith

The Pascal matrix in the multivariate Riordan group

Receipt and verification

First computed	2026-05-18T00:55:53.700351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ae589558ee4174f63bbbc2f600880034dfad93daa54b6db3381bfaff8194d2

Aliases

arxiv: 1612.00970 · arxiv_version: 1612.00970v1 · doi: 10.48550/arxiv.1612.00970 · pith_short_12: CKXFRFKY5ZAX · pith_short_16: CKXFRFKY5ZAXJ5R3 · pith_short_8: CKXFRFKY

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/CKXFRFKY5ZAXJ5R3XPBPMAEIAA \
  | 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: 12ae589558ee4174f63bbbc2f600880034dfad93daa54b6db3381bfaff8194d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2812270189b4b5d12c7f60745ea0333947dc11acce473cb2fd46d19e7a91e33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-03T14:15:51Z",
    "title_canon_sha256": "c1bac59ee49ec1de0acaa8d5f95d3fbbd9733bdeb032599bb4d4b1ae0a5a0316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00970",
    "kind": "arxiv",
    "version": 1
  }
}