Pith Number

pith:PYYLW4XM

pith:2013:PYYLW4XMK77K556MHTMZQZS5I3

not attested not anchored not stored refs pending

A compact formula for the derivative of a 3-D rotation in exponential coordinates

Anthony Yezzi, Guillermo Gallego

arxiv:1312.0788 v2 · 2013-12-03 · cs.CV · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYYLW4XMK77K556MHTMZQZS5I3}

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	2026-05-18T00:31:00.730458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e30bb72ec57feaef7cc3cd998665d46e7d4ad6eaad631a2051e59cd10e5d45f

Aliases

arxiv: 1312.0788 · arxiv_version: 1312.0788v2 · doi: 10.48550/arxiv.1312.0788 · pith_short_12: PYYLW4XMK77K · pith_short_16: PYYLW4XMK77K556M · pith_short_8: PYYLW4XM

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/PYYLW4XMK77K556MHTMZQZS5I3 \
  | 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: 7e30bb72ec57feaef7cc3cd998665d46e7d4ad6eaad631a2051e59cd10e5d45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994524e87a5820ca58e148e234472697226e6610f6b77dc707258886a0201b06",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2013-12-03T12:09:01Z",
    "title_canon_sha256": "25080727b0b2e30b8ce8ec3b604015adb069b34f95d15bca4b941e6a577e578d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0788",
    "kind": "arxiv",
    "version": 2
  }
}