Pith Number

pith:NUWZHWFF

pith:2012:NUWZHWFFYD3JWYRAMXG6PLFOPH

not attested not anchored not stored refs pending

Bounds on positive interior transmission eigenvalues

Boris Vainberg, Evgeny Lakshtanov

arxiv:1206.3782 v3 · 2012-06-17 · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUWZHWFFYD3JWYRAMXG6PLFOPH}

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	2026-05-18T01:56:52.071713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2d93d8a5c0f69b622065cde7acae79fff409bee4ca67210720bf0b759d4cf8

Aliases

arxiv: 1206.3782 · arxiv_version: 1206.3782v3 · doi: 10.48550/arxiv.1206.3782 · pith_short_12: NUWZHWFFYD3J · pith_short_16: NUWZHWFFYD3JWYRA · pith_short_8: NUWZHWFF

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/NUWZHWFFYD3JWYRAMXG6PLFOPH \
  | 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: 6d2d93d8a5c0f69b622065cde7acae79fff409bee4ca67210720bf0b759d4cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf5ade0f3b8b33bf8b7c1eeb82219e7125484a0729c5469e8f6197382fc2edf",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-17T19:32:04Z",
    "title_canon_sha256": "8119b1245a2c8b01475ed974946407305ba656f90efd815ef4081c5ad6ef65cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3782",
    "kind": "arxiv",
    "version": 3
  }
}