Pith Number

pith:LE4B3JBO

pith:2010:LE4B3JBOCNI3QEDZBTHRPYLQOV

not attested not anchored not stored refs pending

Inverse scattering at fixed energy on surfaces with Euclidean ends

Colin Guillarmou (DMA), Leo Tzou, Mikko Salo

arxiv:1004.0315 v1 · 2010-04-02 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE4B3JBOCNI3QEDZBTHRPYLQOV}

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	2026-05-18T02:08:14.824891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59381da42e1351b810790ccf17e1707556a1cdea194f64dc11b562b60f5772fc

Aliases

arxiv: 1004.0315 · arxiv_version: 1004.0315v1 · doi: 10.48550/arxiv.1004.0315 · pith_short_12: LE4B3JBOCNI3 · pith_short_16: LE4B3JBOCNI3QEDZ · pith_short_8: LE4B3JBO

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/LE4B3JBOCNI3QEDZBTHRPYLQOV \
  | 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: 59381da42e1351b810790ccf17e1707556a1cdea194f64dc11b562b60f5772fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9b959d1e9a299f17c495ac2836fd7beaf0578220eaecef07ba28a78e817b9e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-02T10:49:40Z",
    "title_canon_sha256": "b252f62ae87b34d73c5866672cbee81f5a37c8404a1154c34de54d0c5b52eff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0315",
    "kind": "arxiv",
    "version": 1
  }
}