Pith Number

pith:FTSZB6TB

pith:2014:FTSZB6TBZQFZGOF242VGDZBDNY

not attested not anchored not stored refs pending

Quaternion Gradient and Hessian

Danilo P. Mandic, Dongpo Xu

arxiv:1406.3587 v1 · 2014-06-13 · math.NA · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTSZB6TBZQFZGOF242VGDZBDNY}

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	2026-05-18T01:20:17.729958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce590fa61cc0b9338bae6aa61e4236e3d9a342638cebb61d36e36e1091f830d

Aliases

arxiv: 1406.3587 · arxiv_version: 1406.3587v1 · doi: 10.48550/arxiv.1406.3587 · pith_short_12: FTSZB6TBZQFZ · pith_short_16: FTSZB6TBZQFZGOF2 · pith_short_8: FTSZB6TB

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/FTSZB6TBZQFZGOF242VGDZBDNY \
  | 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: 2ce590fa61cc0b9338bae6aa61e4236e3d9a342638cebb61d36e36e1091f830d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a707997b34bd57d20b81c085e65c739e42abb451c8725aa127886c157c8e372a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-06-13T16:33:55Z",
    "title_canon_sha256": "a33e1cca48c7589578390859a49eb794aed33c5af93d374906771ab56cab8487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3587",
    "kind": "arxiv",
    "version": 1
  }
}