Pith Number

pith:J4LRC663

pith:2011:J4LRC663NYRRUMDEEPU62WRZ2E

not attested not anchored not stored refs pending

The k.p method and its application to graphene, carbon nanotubes and graphene nanoribbons: the Dirac equation

Massimo Macucci, Paolo Marconcini

arxiv:1105.1351 v6 · 2011-05-06 · cond-mat.mes-hall · physics.chem-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4LRC663NYRRUMDEEPU62WRZ2E}

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	2026-07-05T01:27:40.571395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f17117bdb6e231a306423e9ed5a39d1064378fb310224f535c7dbb0dee5e2a0

Aliases

arxiv: 1105.1351 · arxiv_version: 1105.1351v6 · doi: 10.48550/arxiv.1105.1351 · pith_short_12: J4LRC663NYRR · pith_short_16: J4LRC663NYRRUMDE · pith_short_8: J4LRC663

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/J4LRC663NYRRUMDEEPU62WRZ2E \
  | 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: 4f17117bdb6e231a306423e9ed5a39d1064378fb310224f535c7dbb0dee5e2a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7b261e4f40ffb9bf055c3194dd0bce380dd57e9144d0f5467f5e9806631c57",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2011-05-06T18:42:30Z",
    "title_canon_sha256": "5af90797c4a11e151f95bccb8386b04f66d6b8a84b8c7db812303fb0bdab43d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1351",
    "kind": "arxiv",
    "version": 6
  }
}