Pith Number

pith:QSZQSKU2

pith:2013:QSZQSKU25A5O2XD3P3QGOUBYEC

not attested not anchored not stored refs pending

Modulation theory in PT-Symmetric Magnetic Metamaterial Arrays in the continuum limit

Alejandro B. Aceves, Danhua Wang

arxiv:1308.5362 v2 · 2013-08-24 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSZQSKU25A5O2XD3P3QGOUBYEC}

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	2026-05-18T03:09:47.794857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b3092a9ae83aed5c7b7ee067503820b498304f559c3f0e5d86ebd185bb7375

Aliases

arxiv: 1308.5362 · arxiv_version: 1308.5362v2 · doi: 10.48550/arxiv.1308.5362 · pith_short_12: QSZQSKU25A5O · pith_short_16: QSZQSKU25A5O2XD3 · pith_short_8: QSZQSKU2

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/QSZQSKU25A5O2XD3P3QGOUBYEC \
  | 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: 84b3092a9ae83aed5c7b7ee067503820b498304f559c3f0e5d86ebd185bb7375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d96659aa83bfdb7195dff2cc6fdcd06a29e30ea6f00ca9ed500b2bee5ccaee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-08-24T21:35:34Z",
    "title_canon_sha256": "75f63bf34dc2452a86cb5819208aef55c6a2115708d23622c61151c80187bcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5362",
    "kind": "arxiv",
    "version": 2
  }
}