Pith Number

pith:WDIPZTBO

pith:2012:WDIPZTBOO3CGV3CWJ2CXGUXZOB

not attested not anchored not stored refs pending

Characterization of almost $L^p$-eigenfunctions of the Laplace-Beltrami operator

Pratyoosh Kumar, Rudra P. Sarkar, Swagato K. Ray

arxiv:1204.1127 v1 · 2012-04-05 · 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{WDIPZTBOO3CGV3CWJ2CXGUXZOB}

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	2026-05-18T03:58:36.315402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d0fccc2e76c46aec564e857352f970795e5c34c1294095a6c5794385cf23be

Aliases

arxiv: 1204.1127 · arxiv_version: 1204.1127v1 · doi: 10.48550/arxiv.1204.1127 · pith_short_12: WDIPZTBOO3CG · pith_short_16: WDIPZTBOO3CGV3CW · pith_short_8: WDIPZTBO

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/WDIPZTBOO3CGV3CWJ2CXGUXZOB \
  | 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: b0d0fccc2e76c46aec564e857352f970795e5c34c1294095a6c5794385cf23be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96301db205f02b3a871a394686920171b9cba33de43607b6a0d1f00ef393ce4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-05T06:07:42Z",
    "title_canon_sha256": "86425ad884bfeffdaf349bd22235d56e250d6b57f89b05d8bd6f3496d02dfa40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1127",
    "kind": "arxiv",
    "version": 1
  }
}