Pith Number

pith:KPGYJIDE

pith:2017:KPGYJIDENQJ3CFNLUCYVNXKFVV

not attested not anchored not stored refs pending

On commutativity and near commutativity of translational and rotational averages: Analytical proofs and numerical examinations

David R. Dalton, Len Bos, Michael A. Slawinski

arxiv:1704.05541 v3 · 2017-04-18 · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPGYJIDENQJ3CFNLUCYVNXKFVV}

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	2026-05-18T00:27:46.816989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53cd84a0646c13b115aba0b156dd45ad72cf3b81187ab29eeaf2975c2a481367

Aliases

arxiv: 1704.05541 · arxiv_version: 1704.05541v3 · doi: 10.48550/arxiv.1704.05541 · pith_short_12: KPGYJIDENQJ3 · pith_short_16: KPGYJIDENQJ3CFNL · pith_short_8: KPGYJIDE

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/KPGYJIDENQJ3CFNLUCYVNXKFVV \
  | 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: 53cd84a0646c13b115aba0b156dd45ad72cf3b81187ab29eeaf2975c2a481367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e486014aa796b8d20b8e96b501aea7709c74789ae577da7d25c19d648009d9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2017-04-18T21:33:52Z",
    "title_canon_sha256": "239dc9e6dd67f9d14660e17adde681466a10fd51e17650ec6bb2cf7ab1d38e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05541",
    "kind": "arxiv",
    "version": 3
  }
}