Pith Number

pith:LH5IP7SE

pith:2010:LH5IP7SEWG6LK4CY7MDEMMVM5V

not attested not anchored not stored refs pending

Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds

Boris Rubin

arxiv:1009.2184 v1 · 2010-09-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LH5IP7SEWG6LK4CY7MDEMMVM5V}

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	2026-05-18T04:41:04.650016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59fa87fe44b1bcb57058fb064632aced6e77468cac3a962fe8937014e0a81346

Aliases

arxiv: 1009.2184 · arxiv_version: 1009.2184v1 · doi: 10.48550/arxiv.1009.2184 · pith_short_12: LH5IP7SEWG6L · pith_short_16: LH5IP7SEWG6LK4CY · pith_short_8: LH5IP7SE

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/LH5IP7SEWG6LK4CY7MDEMMVM5V \
  | 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: 59fa87fe44b1bcb57058fb064632aced6e77468cac3a962fe8937014e0a81346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c101007410683a323b4e8ff5775dc57e38e82f12e24c9e04a0462acd2d3d3419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-11T16:26:14Z",
    "title_canon_sha256": "057033f3222cbe426983aebdcd34a32f6eb46619e77c1121badc9f46bb2e6195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2184",
    "kind": "arxiv",
    "version": 1
  }
}