Pith Number

pith:BILAK2IL

pith:2017:BILAK2ILX3QL6HCREQVBFJQ2NP

not attested not anchored not stored refs pending

Discrete Bethe-Sommerfeld Conjecture

Rui Han, Svetlana Jitomirskaya

arxiv:1707.03482 v1 · 2017-07-11 · math-ph · 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{BILAK2ILX3QL6HCREQVBFJQ2NP}

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	2026-05-18T00:15:21.687237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1605690bbee0bf1c51242a12a61a6bc2c0073e1d95603162c24cae29adb39b

Aliases

arxiv: 1707.03482 · arxiv_version: 1707.03482v1 · doi: 10.48550/arxiv.1707.03482 · pith_short_12: BILAK2ILX3QL · pith_short_16: BILAK2ILX3QL6HCR · pith_short_8: BILAK2IL

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/BILAK2ILX3QL6HCREQVBFJQ2NP \
  | 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: 0a1605690bbee0bf1c51242a12a61a6bc2c0073e1d95603162c24cae29adb39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37394c666b52be6f96adf5d56b0b57c373617a83a70a89680de08ee0d30a7e64",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-11T22:32:43Z",
    "title_canon_sha256": "f3fd6549a3be23aa3b9e97058245696aae208f503e1716b6ba7d991952c7b0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03482",
    "kind": "arxiv",
    "version": 1
  }
}