pith. sign in
Pith Number

pith:PWPSLU6U

pith:2018:PWPSLU6UXTPENLOM5PFDM7VLWM
not attested not anchored not stored refs pending

Eigenvalue estimates for bilayer graphene

Jean-Claude Cuenin

arxiv:1805.10648 v2 · 2018-05-27 · math.SP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PWPSLU6UXTPENLOM5PFDM7VLWM}

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 2026-05-17T23:45:38.353290Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d9f25d3d4bcde46adccebca367eabb3138f3760ca1d894196637b64be3eb023

Aliases

arxiv: 1805.10648 · arxiv_version: 1805.10648v2 · doi: 10.48550/arxiv.1805.10648 · pith_short_12: PWPSLU6UXTPE · pith_short_16: PWPSLU6UXTPENLOM · pith_short_8: PWPSLU6U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWPSLU6UXTPENLOM5PFDM7VLWM \
  | 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: 7d9f25d3d4bcde46adccebca367eabb3138f3760ca1d894196637b64be3eb023
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "66de2bfb5db990ad12d9be98f03f3f837adeb3759e580775d9e3b3202a5218a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-05-27T16:32:54Z",
    "title_canon_sha256": "f75224c424ec2eacfc860c464152deaab028bd70e3ed024140d10dad04a5e2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10648",
    "kind": "arxiv",
    "version": 2
  }
}