Pith Number

pith:O27RAIM3

pith:2016:O27RAIM3KKTJOFXTRUCZTJNMHC

not attested not anchored not stored refs pending

Geometric foundations for scaling-rotation statistics on symmetric positive definite matrices: minimal smooth scaling-rotation curves in low dimensions

Armin Schwartzman, David Groisser, Sungkyu Jung

arxiv:1602.01187 v4 · 2016-02-03 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O27RAIM3KKTJOFXTRUCZTJNMHC}

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	2026-05-18T00:12:11.636244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76bf10219b52a69716f38d0599a5ac38968350fbb84a2bc1643471fb94bfa5a3

Aliases

arxiv: 1602.01187 · arxiv_version: 1602.01187v4 · doi: 10.48550/arxiv.1602.01187 · pith_short_12: O27RAIM3KKTJ · pith_short_16: O27RAIM3KKTJOFXT · pith_short_8: O27RAIM3

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/O27RAIM3KKTJOFXTRUCZTJNMHC \
  | 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: 76bf10219b52a69716f38d0599a5ac38968350fbb84a2bc1643471fb94bfa5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa67d950e867d7145a06a89001d3e2573810795c4075a1b30c1a3627d1b0ea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-03T04:34:05Z",
    "title_canon_sha256": "98e0ae1cd2eb2d385245056671da99320c97d809dd4520079f3bf6daab041f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01187",
    "kind": "arxiv",
    "version": 4
  }
}