Pith Number

pith:CECDNWIU

pith:2010:CECDNWIUO4WYEOH36VQR73I37D

not attested not anchored not stored refs pending

Sets of injectivity for weighted twisted spherical means and support theorems

R. K. Srivastava

arxiv:1012.5167 v8 · 2010-12-23 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CECDNWIUO4WYEOH36VQR73I37D}

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	2026-05-18T03:55:25.020068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

110436d914772d8238fbf5611fed1bf8f295c323617010a515cb79c75bdfcee4

Aliases

arxiv: 1012.5167 · arxiv_version: 1012.5167v8 · doi: 10.48550/arxiv.1012.5167 · pith_short_12: CECDNWIUO4WY · pith_short_16: CECDNWIUO4WYEOH3 · pith_short_8: CECDNWIU

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/CECDNWIUO4WYEOH36VQR73I37D \
  | 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: 110436d914772d8238fbf5611fed1bf8f295c323617010a515cb79c75bdfcee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c530223da42b0b501b24fff496ae35af27feb2b0183093066f0fe36d98a2fffd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-23T10:23:28Z",
    "title_canon_sha256": "970ebfa01aface91d4f69ed979abe8701cf4952b892430c55cb072f3d405e4d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5167",
    "kind": "arxiv",
    "version": 8
  }
}