Pith Number

pith:OPXLMAVS

pith:2012:OPXLMAVSLMQ2Y3TR7TMG6QB4AP

not attested not anchored not stored refs pending

Wave packets in Honeycomb Structures and Two-Dimensional Dirac Equations

Charles L. Fefferman, Michael I. Weinstein

arxiv:1212.6072 v1 · 2012-12-25 · math-ph · cond-mat.mes-hall · math.AP · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPXLMAVSLMQ2Y3TR7TMG6QB4AP}

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	2026-05-18T01:52:27.524541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73eeb602b25b21ac6e71fcd86f403c03d09ef57ad3d8a44c8b8227d213464e2d

Aliases

arxiv: 1212.6072 · arxiv_version: 1212.6072v1 · doi: 10.48550/arxiv.1212.6072 · pith_short_12: OPXLMAVSLMQ2 · pith_short_16: OPXLMAVSLMQ2Y3TR · pith_short_8: OPXLMAVS

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/OPXLMAVSLMQ2Y3TR7TMG6QB4AP \
  | 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: 73eeb602b25b21ac6e71fcd86f403c03d09ef57ad3d8a44c8b8227d213464e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e4e4356ffe50fdf946eede6e4f6d67fcf19b5fcb18487659d2cc26b9a40413",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-25T18:01:33Z",
    "title_canon_sha256": "56fe599a66e0505fa88d028026aaba3a9bc61569a79d7c77471af7ddf412f1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6072",
    "kind": "arxiv",
    "version": 1
  }
}