Pith Number

pith:FVIZQ7K3

pith:2025:FVIZQ7K3VGS7Y6A2FVXRIGUJBG

not attested not anchored not stored refs pending

Roto-Translation Invariant Metrics on Position-Orientation Space

Bart M. N. Smets, Gijs Bellaard

arxiv:2504.03309 v2 · 2025-04-04 · math.DG · 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{FVIZQ7K3VGS7Y6A2FVXRIGUJBG}

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	2026-07-05T11:31:06.120776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d51987d5ba9a5fc781a2d6f141a8909aa407b8482f2db2c7bc59f4ed9e31502

Aliases

arxiv: 2504.03309 · arxiv_version: 2504.03309v2 · doi: 10.48550/arxiv.2504.03309 · pith_short_12: FVIZQ7K3VGS7 · pith_short_16: FVIZQ7K3VGS7Y6A2 · pith_short_8: FVIZQ7K3

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/FVIZQ7K3VGS7Y6A2FVXRIGUJBG \
  | 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: 2d51987d5ba9a5fc781a2d6f141a8909aa407b8482f2db2c7bc59f4ed9e31502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb02197f980c51a9f70f328c369c80625e684e5490a5bba005bfd63bf5b0332",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-04T09:36:11Z",
    "title_canon_sha256": "ab21e4ef60756288f2606a90ad68ef4212d40d39e838930f591bac39b09e38bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03309",
    "kind": "arxiv",
    "version": 2
  }
}