Pith Number

pith:N564N32Y

pith:2015:N564N32YIZNNZ5TX3444EUCEXP

not attested not anchored not stored refs pending

Dynamic Rotation and Stretch Tensors from a Dynamic Polar Decomposition

George Haller

arxiv:1510.05367 v1 · 2015-10-19 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N564N32YIZNNZ5TX3444EUCEXP}

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	2026-05-18T01:29:52.429746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7dc6ef58465adcf677df39c25044bbe8a83c4b791c82ef9336fe944e047ddd

Aliases

arxiv: 1510.05367 · arxiv_version: 1510.05367v1 · doi: 10.48550/arxiv.1510.05367 · pith_short_12: N564N32YIZNN · pith_short_16: N564N32YIZNNZ5TX · pith_short_8: N564N32Y

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/N564N32YIZNNZ5TX3444EUCEXP \
  | 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: 6f7dc6ef58465adcf677df39c25044bbe8a83c4b791c82ef9336fe944e047ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e8ad9addf6279829437536b907c16de0af70f6925b442bc433ff34cd0325ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-19T06:47:07Z",
    "title_canon_sha256": "ead781cf2c05ed017e6247eb809bff4be77a664197a285b5ead0261c681f329a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05367",
    "kind": "arxiv",
    "version": 1
  }
}