Pith Number

pith:5ADHVW6V

pith:2011:5ADHVW6VLZRESM7TQYGVMN6PSA

not attested not anchored not stored refs pending

Absence of bound states for waveguides in 2D periodic structures

Maria Radosz, Vu Hoang

arxiv:1111.4578 v4 · 2011-11-19 · math.SP · math-ph · 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{5ADHVW6VLZRESM7TQYGVMN6PSA}

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	2026-05-18T02:21:28.553604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8067adbd55e624933f3860d5637cf9018e18e911afb17c6b02cf2d15874a60b

Aliases

arxiv: 1111.4578 · arxiv_version: 1111.4578v4 · doi: 10.48550/arxiv.1111.4578 · pith_short_12: 5ADHVW6VLZRE · pith_short_16: 5ADHVW6VLZRESM7T · pith_short_8: 5ADHVW6V

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/5ADHVW6VLZRESM7TQYGVMN6PSA \
  | 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: e8067adbd55e624933f3860d5637cf9018e18e911afb17c6b02cf2d15874a60b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d312d6f23966a6aed5a6f8e1558b58dc9fba76339c1d57f49a736e29e746cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-11-19T19:32:39Z",
    "title_canon_sha256": "8518092a143b30d6324f332648710d755ebf27d6fd154eb0c810a8c542156ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4578",
    "kind": "arxiv",
    "version": 4
  }
}