Pith Number

pith:CGB77XYN

pith:2012:CGB77XYNFGQUYJVF7HU5HOSDDC

not attested not anchored not stored refs pending

Cram\'er-Rao bounds for synchronization of rotations

Amit Singer, Nicolas Boumal, P.-A. Absil, Vincent D. Blondel

arxiv:1211.1621 v2 · 2012-11-07 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGB77XYNFGQUYJVF7HU5HOSDDC}

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	2026-05-18T01:23:21.095744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1183ffdf0d29a14c26a5f9e9d3ba43188f3a36d9bad0008ed22dd5e8d872751c

Aliases

arxiv: 1211.1621 · arxiv_version: 1211.1621v2 · doi: 10.48550/arxiv.1211.1621 · pith_short_12: CGB77XYNFGQU · pith_short_16: CGB77XYNFGQUYJVF · pith_short_8: CGB77XYN

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/CGB77XYNFGQUYJVF7HU5HOSDDC \
  | 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: 1183ffdf0d29a14c26a5f9e9d3ba43188f3a36d9bad0008ed22dd5e8d872751c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1df3ae6fb0a9517c4a262ac06d6d9ff63fe9d30c108f5c1a44091eaf7d968c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-07T17:57:01Z",
    "title_canon_sha256": "d481eff8151060c2ac00fe05e9dfaddd8b44bf94348567e030a2cd0b18f52395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1621",
    "kind": "arxiv",
    "version": 2
  }
}