Pith Number

pith:7J6UNNUR

pith:2012:7J6UNNUR2AZD4TUDVHC4IXYPZ2

not attested not anchored not stored refs pending

The Calderon problem with partial data on manifolds and applications

Carlos E. Kenig, Mikko Salo

arxiv:1211.1054 v1 · 2012-11-05 · 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{7J6UNNUR2AZD4TUDVHC4IXYPZ2}

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	2026-05-18T01:22:26.044635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa7d46b691d0323e4e83a9c5c45f0fcea9acb50184d7c1e838a3c3b309132035

Aliases

arxiv: 1211.1054 · arxiv_version: 1211.1054v1 · doi: 10.48550/arxiv.1211.1054 · pith_short_12: 7J6UNNUR2AZD · pith_short_16: 7J6UNNUR2AZD4TUD · pith_short_8: 7J6UNNUR

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/7J6UNNUR2AZD4TUDVHC4IXYPZ2 \
  | 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: fa7d46b691d0323e4e83a9c5c45f0fcea9acb50184d7c1e838a3c3b309132035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3479e08c6601418ee0bf255ef4fbaf9ccb6a66253f14568886e09c3b930d1869",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-05T22:12:08Z",
    "title_canon_sha256": "75953747d0a54a5f4588a3d9f615a4e77b321e5e3cb49b309f1d99612f5cd545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1054",
    "kind": "arxiv",
    "version": 1
  }
}