Pith Number

pith:TVZ4M3XV

pith:2012:TVZ4M3XVD2FJHATNZEZEUZQ4JQ

not attested not anchored not stored refs pending

Fourier restriction Theorem and characterization of weak $L^2$ eigenfunctions of the Laplace--Beltrami operator

Pratyoosh Kumar

arxiv:1204.1430 v1 · 2012-04-06 · 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{TVZ4M3XVD2FJHATNZEZEUZQ4JQ}

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	2026-05-18T01:37:02.728477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d73c66ef51e8a93826dc9324a661c4c3ddba144cab3db1a03d358b308c9b0fc

Aliases

arxiv: 1204.1430 · arxiv_version: 1204.1430v1 · doi: 10.48550/arxiv.1204.1430 · pith_short_12: TVZ4M3XVD2FJ · pith_short_16: TVZ4M3XVD2FJHATN · pith_short_8: TVZ4M3XV

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/TVZ4M3XVD2FJHATNZEZEUZQ4JQ \
  | 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: 9d73c66ef51e8a93826dc9324a661c4c3ddba144cab3db1a03d358b308c9b0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815c762860f92baa9c0742b5c70804d6c8862d7953f1cf9d4b834895ed9ad26c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-06T08:14:22Z",
    "title_canon_sha256": "e92ad4345138ca40ad09b4ca381b041619dd7da80776212605a3b5942711e6eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1430",
    "kind": "arxiv",
    "version": 1
  }
}