Pith Number

pith:MQ7L2PUE

pith:2012:MQ7L2PUESXMQXJ6PZ5UNM6WFMZ

not attested not anchored not stored refs pending

Nonparaxial Mathieu and Weber accelerating beams

Drake Cannan, Peng Zhang, Roberto Morandotti, Tongcang Li, Xiang Zhang, Xiaobo Yin, Yi Hu, Zhigang Chen

arxiv:1210.6302 v1 · 2012-10-23 · physics.optics · cond-mat.mes-hall · math-ph · math.MP · physics.class-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{MQ7L2PUESXMQXJ6PZ5UNM6WFMZ}

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	2026-05-18T03:41:12.132043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46

Aliases

arxiv: 1210.6302 · arxiv_version: 1210.6302v1 · doi: 10.48550/arxiv.1210.6302 · pith_short_12: MQ7L2PUESXMQ · pith_short_16: MQ7L2PUESXMQXJ6P · pith_short_8: MQ7L2PUE

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/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ \
  | 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: 643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bb59354f01a408ea3a0ebb5ac404eccb07e11958120f5cd8cce2755a24cc85",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-10-23T17:29:25Z",
    "title_canon_sha256": "ba7533686be8aa486d1614a15b01fc3c4cff465a42cc145a4c995c73b4017888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6302",
    "kind": "arxiv",
    "version": 1
  }
}