Pith Number

pith:CGBVV7FD

pith:2011:CGBVV7FDWCF5MUGKL7QWWK7H6Q

not attested not anchored not stored refs pending

Cubature formulas and discrete fourier transform on compact manifolds

Daryl Geller, Isaac Z. Pesenson

arxiv:1111.5900 v1 · 2011-11-25 · math.FA · 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{CGBVV7FDWCF5MUGKL7QWWK7H6Q}

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	2026-05-18T02:57:00.260882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11835afca3b08bd650ca5fe16b2be7f415dfffaf5a0c63c12aa20e2cbdb8c31b

Aliases

arxiv: 1111.5900 · arxiv_version: 1111.5900v1 · doi: 10.48550/arxiv.1111.5900 · pith_short_12: CGBVV7FDWCF5 · pith_short_16: CGBVV7FDWCF5MUGK · pith_short_8: CGBVV7FD

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/CGBVV7FDWCF5MUGKL7QWWK7H6Q \
  | 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: 11835afca3b08bd650ca5fe16b2be7f415dfffaf5a0c63c12aa20e2cbdb8c31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96c06a8f4d293c8901977608f2263675ac0ae967d52cf0278c72f7bf9336fa9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-25T06:25:49Z",
    "title_canon_sha256": "0d329256e78e6f5e524075ad5997b793d3b394ff50cc515802abad0addfaac1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5900",
    "kind": "arxiv",
    "version": 1
  }
}