Pith Number

pith:KTQNDF5B

pith:2009:KTQNDF5BLHZI5BUPMYF3KPTP37

not attested not anchored not stored refs pending

On the Bethe-Sommerfeld conjecture for periodic Maxwell operators

Mariya Vorobets

arxiv:0910.2742 v2 · 2009-10-14 · 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{KTQNDF5BLHZI5BUPMYF3KPTP37}

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	2026-05-18T04:42:35.326957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e0d197a159f28e868f660bb53e6fdffd287a56f14891a57d00dd645e36a7ac

Aliases

arxiv: 0910.2742 · arxiv_version: 0910.2742v2 · doi: 10.48550/arxiv.0910.2742 · pith_short_12: KTQNDF5BLHZI · pith_short_16: KTQNDF5BLHZI5BUP · pith_short_8: KTQNDF5B

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/KTQNDF5BLHZI5BUPMYF3KPTP37 \
  | 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: 54e0d197a159f28e868f660bb53e6fdffd287a56f14891a57d00dd645e36a7ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef39e50cf15b6e5e77e7181af468e3a5e7225347b39ccb217bc16764ba93c57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-10-14T22:28:44Z",
    "title_canon_sha256": "0cdb0eabae90e34c27c6df466f30848b0ec48191b07c59efb69f55f5906b9a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2742",
    "kind": "arxiv",
    "version": 2
  }
}