Pith Number

pith:LDAADPGV

pith:2016:LDAADPGVIHFYV7JDOBAKGYYYJE

not attested not anchored not stored refs pending

Spectral gaps of Dirac operators describing graphene quantum dots

Edgardo Stockmeyer, Hanne Van Den Bosch, Rafael D. Benguria, S{\o}ren Fournais

arxiv:1601.06607 v2 · 2016-01-25 · 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{LDAADPGVIHFYV7JDOBAKGYYYJE}

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	2026-05-18T00:46:04.524295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58c001bcd541cb8afd237040a36318493312b5fd3d75d9863d14c045b75c0699

Aliases

arxiv: 1601.06607 · arxiv_version: 1601.06607v2 · doi: 10.48550/arxiv.1601.06607 · pith_short_12: LDAADPGVIHFY · pith_short_16: LDAADPGVIHFYV7JD · pith_short_8: LDAADPGV

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/LDAADPGVIHFYV7JDOBAKGYYYJE \
  | 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: 58c001bcd541cb8afd237040a36318493312b5fd3d75d9863d14c045b75c0699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a520aaef02c58474e3568e4a7da63e2c981dd1f1cb8723d33abdb58b773128",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-25T14:02:50Z",
    "title_canon_sha256": "6588bf6e3f9fd4499cc1cfd2559fb034121c05e2ff4b1060e94651d9f64aef8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06607",
    "kind": "arxiv",
    "version": 2
  }
}