Pith Number

pith:AR46PLJU

pith:2015:AR46PLJU4UXOMPVAY2VEBMDIVT

not attested not anchored not stored refs pending

Ruled nodal surfaces of Laplace eigenfunctions and injectivity sets for the spherical mean Radon transform in $\mathbb R^3.$

Mark Agranovsky

arxiv:1504.01250 v2 · 2015-04-06 · math.AP · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR46PLJU4UXOMPVAY2VEBMDIVT}

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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	2026-05-18T00:26:30.977333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0479e7ad34e52ee63ea0c6aa40b068ace0ef71c32fbee2b43f2400d9a9d1fcd0

Aliases

arxiv: 1504.01250 · arxiv_version: 1504.01250v2 · doi: 10.48550/arxiv.1504.01250 · pith_short_12: AR46PLJU4UXO · pith_short_16: AR46PLJU4UXOMPVA · pith_short_8: AR46PLJU

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/AR46PLJU4UXOMPVAY2VEBMDIVT \
  | 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: 0479e7ad34e52ee63ea0c6aa40b068ace0ef71c32fbee2b43f2400d9a9d1fcd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e7af1c805fbf40516c0d522be12935b0eb6e66a778e303e07f2bc8e22fb2fc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-06T10:09:00Z",
    "title_canon_sha256": "735a974757d848a33cc911185e70120c3765bdad7c88f89572d42824e9e2b842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01250",
    "kind": "arxiv",
    "version": 2
  }
}