Pith Number

pith:7BNLK6BS

pith:2014:7BNLK6BSJ34OFIPTDF2SNIOOL4

not attested not anchored not stored refs pending

Quaternion Derivatives: The GHR Calculus

Clive C. Took, Cyrus Jahanchahi, Danilo P. Mandic, Dongpo Xu

arxiv:1409.8168 v1 · 2014-09-25 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BNLK6BSJ34OFIPTDF2SNIOOL4}

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	2026-05-18T01:20:17.556578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85ab578324ef8e2a1f3197526a1ce5f2506c704691df36814f31c65cf284e8a

Aliases

arxiv: 1409.8168 · arxiv_version: 1409.8168v1 · doi: 10.48550/arxiv.1409.8168 · pith_short_12: 7BNLK6BSJ34O · pith_short_16: 7BNLK6BSJ34OFIPT · pith_short_8: 7BNLK6BS

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/7BNLK6BSJ34OFIPTDF2SNIOOL4 \
  | 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: f85ab578324ef8e2a1f3197526a1ce5f2506c704691df36814f31c65cf284e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c8f736e2848abfe3cc0677581bd3bffd6c414914bbd1a8981d1b0cbd7bbeba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2014-09-25T01:30:49Z",
    "title_canon_sha256": "35c4244fb5f8d674798094517d25e5aa6d1b75e87d209d7052b42c178fbe7f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8168",
    "kind": "arxiv",
    "version": 1
  }
}