Pith Number

pith:WPDJEYB7

pith:2005:WPDJEYB7U2R7OLHFPYGPTE355S

not attested not anchored not stored refs pending

Carleman estimates and absence of embedded eigenvalues

Daniel Tataru, Herbert Koch

arxiv:math-ph/0508052 v1 · 2005-08-25 · math-ph · math.AP · 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{WPDJEYB7U2R7OLHFPYGPTE355S}

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	2026-05-18T01:38:33.091460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c692603fa6a3f72ce57e0cf9937decbde10901dae983611654066c5f294f44

Aliases

arxiv: math-ph/0508052 · arxiv_version: math-ph/0508052v1 · doi: 10.48550/arxiv.math-ph/0508052 · pith_short_12: WPDJEYB7U2R7 · pith_short_16: WPDJEYB7U2R7OLHF · pith_short_8: WPDJEYB7

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/WPDJEYB7U2R7OLHFPYGPTE355S \
  | 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: b3c692603fa6a3f72ce57e0cf9937decbde10901dae983611654066c5f294f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ac038fb74db3a4ed5b291dc497209f8b862e656db0786d03c47da8fb3a9551",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-08-25T22:21:00Z",
    "title_canon_sha256": "5f69bc69950dfc03412cdcc6dd26ae05d8518f3be55f8d023077886d19bbf28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0508052",
    "kind": "arxiv",
    "version": 1
  }
}