Pith Number

pith:FDBRQARD

pith:2019:FDBRQARDMBG4MPKFK2UXN3U2ZS

not attested not anchored not stored refs pending

On the non-commutative Newton binomial formula

A. Hosseini, M. Mohammadzadeh Karizaki

arxiv:1902.10939 v1 · 2019-02-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDBRQARDMBG4MPKFK2UXN3U2ZS}

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	2026-05-17T23:52:26.311227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c3180223604dc63d4556a976ee9acca1c8a74e9db0eb5a9058737c367aa398

Aliases

arxiv: 1902.10939 · arxiv_version: 1902.10939v1 · doi: 10.48550/arxiv.1902.10939 · pith_short_12: FDBRQARDMBG4 · pith_short_16: FDBRQARDMBG4MPKF · pith_short_8: FDBRQARD

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/FDBRQARDMBG4MPKFK2UXN3U2ZS \
  | 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: 28c3180223604dc63d4556a976ee9acca1c8a74e9db0eb5a9058737c367aa398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa2b00a816742e095ea1024c53006d83935d5b462e7c3b2a151502d21130dac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-28T07:53:55Z",
    "title_canon_sha256": "b9e378549f24617ff6d60989f6a3879162b42928aa9e7f5be95db8fa6db8adb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10939",
    "kind": "arxiv",
    "version": 1
  }
}