Pith Number

pith:LOD5FR7J

pith:2016:LOD5FR7JXJQXGB26QWVIJ6XEO6

not attested not anchored not stored refs pending

Low lying spectral gaps induced by slowly varying magnetic fields

Bernard Helffer, Horia D. Cornean, Radu Purice

arxiv:1608.00432 v2 · 2016-08-01 · math.SP · 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{LOD5FR7JXJQXGB26QWVIJ6XEO6}

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	2026-05-18T00:46:49.232979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b87d2c7e9ba6173075e85aa84fae477b755abadc05c4e1c7822ad1cf73c9cca

Aliases

arxiv: 1608.00432 · arxiv_version: 1608.00432v2 · doi: 10.48550/arxiv.1608.00432 · pith_short_12: LOD5FR7JXJQX · pith_short_16: LOD5FR7JXJQXGB26 · pith_short_8: LOD5FR7J

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/LOD5FR7JXJQXGB26QWVIJ6XEO6 \
  | 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: 5b87d2c7e9ba6173075e85aa84fae477b755abadc05c4e1c7822ad1cf73c9cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd13533f1198add5f191502393d03ae197995586b95914bde8c5311724e04db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-01T14:01:02Z",
    "title_canon_sha256": "4e2cd8f296855df950f7a06a0a7e1a15cc13134e6e69c8d271bb39826ba75c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00432",
    "kind": "arxiv",
    "version": 2
  }
}