Pith Number

pith:K7RKEFHG

pith:2014:K7RKEFHGEXWF5DGA7GFIEOALX3

not attested not anchored not stored refs pending

A General Quaternion-valued Gradient Operator and Its Applications to Computational Fluid Dynamics and Adaptive Beamforming

Mengdi Jiang, Wei Liu, Yi Li

arxiv:1406.5719 v1 · 2014-06-22 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7RKEFHGEXWF5DGA7GFIEOALX3}

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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.

Receipt and verification

First computed	2026-05-18T02:49:10.879232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e2a214e625ec5e8cc0f98a82380bbef4f9f609a3a9182d0a6df44ddf4bda80

Aliases

arxiv: 1406.5719 · arxiv_version: 1406.5719v1 · doi: 10.48550/arxiv.1406.5719 · pith_short_12: K7RKEFHGEXWF · pith_short_16: K7RKEFHGEXWF5DGA · pith_short_8: K7RKEFHG

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/K7RKEFHGEXWF5DGA7GFIEOALX3 \
  | 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: 57e2a214e625ec5e8cc0f98a82380bbef4f9f609a3a9182d0a6df44ddf4bda80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63e8d8e6cdf23ada3f95098098afa8a1d86f6186ad6e340480729b2f007a4d9",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-06-22T12:42:58Z",
    "title_canon_sha256": "49e67d185166499d6e8f0f3411a8f77d608b1fed13b74604901ebd6b550227ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5719",
    "kind": "arxiv",
    "version": 1
  }
}