Pith Number

pith:GO663DLR

pith:2016:GO663DLRYY44Y7SCQZHZ5UXXYE

not attested not anchored not stored refs pending

Computing the Fr\'echet Derivative of the Polar Decomposition

Evan S. Gawlik, Melvin Leok

arxiv:1608.04491 v1 · 2016-08-16 · 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{GO663DLRYY44Y7SCQZHZ5UXXYE}

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	2026-05-18T01:08:37.088097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33bded8d71c639cc7e42864f9ed2f7c106348bd91c17623c54b1d02c3133c8a8

Aliases

arxiv: 1608.04491 · arxiv_version: 1608.04491v1 · doi: 10.48550/arxiv.1608.04491 · pith_short_12: GO663DLRYY44 · pith_short_16: GO663DLRYY44Y7SC · pith_short_8: GO663DLR

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/GO663DLRYY44Y7SCQZHZ5UXXYE \
  | 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: 33bded8d71c639cc7e42864f9ed2f7c106348bd91c17623c54b1d02c3133c8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4653644923acb24e22924836e03027e8d6a9bb96c10c54ad16d745fe296a79c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-16T05:59:29Z",
    "title_canon_sha256": "2720a74cb4f5c8a40f5ee1454f12e2365c655193a5b7877bcba8eb967df82ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04491",
    "kind": "arxiv",
    "version": 1
  }
}