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Pith Number

pith:77M67QTC

pith:2012:77M67QTCTPNJSGGNEDERO4I7HG
not attested not anchored not stored refs pending

Honeycomb Lattice Potentials and Dirac Points

Charles L. Fefferman, Michael I. Weinstein

arxiv:1202.3839 v3 · 2012-02-17 · math-ph · cond-mat.mtrl-sci · math.AP · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{77M67QTCTPNJSGGNEDERO4I7HG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T03:53:19.921623Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ffd9efc2629bda9918cd20c917711f3995be0840952f5d9328e7412590577152

Aliases

arxiv: 1202.3839 · arxiv_version: 1202.3839v3 · doi: 10.48550/arxiv.1202.3839 · pith_short_12: 77M67QTCTPNJ · pith_short_16: 77M67QTCTPNJSGGN · pith_short_8: 77M67QTC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/77M67QTCTPNJSGGNEDERO4I7HG \
  | 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: ffd9efc2629bda9918cd20c917711f3995be0840952f5d9328e7412590577152
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f6d3f94b6575e9840d1e95da403b1babea0e2eefb3d23f1bbfe621051a2ef49b",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-17T04:22:09Z",
    "title_canon_sha256": "f371bd53df9e0a60b0e353116bdb31a210c703b2c8fb87b627ee36dc871b49fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3839",
    "kind": "arxiv",
    "version": 3
  }
}