Pith Number

pith:A6FFGF2E

pith:2013:A6FFGF2EVH5CJOQMP7UPBE5ZAL

not attested not anchored not stored refs pending

Inverse boundary problems for polyharmonic operators with unbounded potentials

Gunther Uhlmann, Katsiaryna Krupchyk

arxiv:1308.3782 v2 · 2013-08-17 · math.AP · 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{A6FFGF2EVH5CJOQMP7UPBE5ZAL}

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	2026-05-18T01:36:02.210281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

078a531744a9fa24ba0c7fe8f093b902f37c9a3009e63a560617226443d4e67f

Aliases

arxiv: 1308.3782 · arxiv_version: 1308.3782v2 · doi: 10.48550/arxiv.1308.3782 · pith_short_12: A6FFGF2EVH5C · pith_short_16: A6FFGF2EVH5CJOQM · pith_short_8: A6FFGF2E

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/A6FFGF2EVH5CJOQMP7UPBE5ZAL \
  | 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: 078a531744a9fa24ba0c7fe8f093b902f37c9a3009e63a560617226443d4e67f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69cadff90ebe5a0bad3d36a08b92d625e47956fa34077c2cde8fa4baef31033e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-17T13:27:35Z",
    "title_canon_sha256": "4c75bd3e756084dce996aa72442d2a08ab13e54355fd3b7f6dbb00bfe49c57f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3782",
    "kind": "arxiv",
    "version": 2
  }
}