Pith Number

pith:TG3K3RLE

pith:2011:TG3K3RLEJEXVZIDIUJO2G3PLXO

not attested not anchored not stored refs pending

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

Boris Rubin

arxiv:1103.1161 v1 · 2011-03-06 · 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{TG3K3RLEJEXVZIDIUJO2G3PLXO}

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	2026-05-18T04:27:16.986600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b6adc564492f5ca068a25da36debbb8e877cf4780984023a713678ee77dd65

Aliases

arxiv: 1103.1161 · arxiv_version: 1103.1161v1 · doi: 10.48550/arxiv.1103.1161 · pith_short_12: TG3K3RLEJEXV · pith_short_16: TG3K3RLEJEXVZIDI · pith_short_8: TG3K3RLE

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/TG3K3RLEJEXVZIDIUJO2G3PLXO \
  | 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: 99b6adc564492f5ca068a25da36debbb8e877cf4780984023a713678ee77dd65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670eb8705f8532bb8a3b32704ec9add24b7642472da66770d3169a32fc537ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-06T20:46:50Z",
    "title_canon_sha256": "a7ebf64b23377cff72200a20da4c4c3e0816053a135d9a019538d5da7d2671f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1161",
    "kind": "arxiv",
    "version": 1
  }
}