Pith Number

pith:5WF5IBDK

pith:2012:5WF5IBDKSFIDTSCVD4HNJPDNBU

not attested not anchored not stored refs pending

Gap opening and split band edges in waveguides coupled by a periodic system of small windows

D. Borisov, K. Pankrashkin

arxiv:1203.0201 v1 · 2012-03-01 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WF5IBDKSFIDTSCVD4HNJPDNBU}

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	2026-05-18T04:01:02.897159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8bd4046a915039c8551f0ed4bc6d0d01435c2f9955761427d568faee98f1f6

Aliases

arxiv: 1203.0201 · arxiv_version: 1203.0201v1 · doi: 10.48550/arxiv.1203.0201 · pith_short_12: 5WF5IBDKSFID · pith_short_16: 5WF5IBDKSFIDTSCV · pith_short_8: 5WF5IBDK

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/5WF5IBDKSFIDTSCVD4HNJPDNBU \
  | 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: ed8bd4046a915039c8551f0ed4bc6d0d01435c2f9955761427d568faee98f1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb7e2d66a8c9a9fb1317898769b7f7476a30ae0620f5b871440708ee8a147f9",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-03-01T14:40:29Z",
    "title_canon_sha256": "7ba374c478b1811861a7b420680d60e7d36531a9031640a814ba68b5eb62f9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0201",
    "kind": "arxiv",
    "version": 1
  }
}