Pith Number

pith:VDIGZWO6

pith:2011:VDIGZWO6AI3WXEEHDK3ELXW4V2

not attested not anchored not stored refs pending

Planar waveguide with "twisted" boundary conditions: discrete spectrum

Denis Borisov, Giuseppe Cardone

arxiv:1110.3452 v1 · 2011-10-16 · 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{VDIGZWO6AI3WXEEHDK3ELXW4V2}

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	2026-05-18T02:00:11.922682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d06cd9de02376b90871ab645dedcae8927328f4be80962a1d91e9740a6ab86

Aliases

arxiv: 1110.3452 · arxiv_version: 1110.3452v1 · doi: 10.48550/arxiv.1110.3452 · pith_short_12: VDIGZWO6AI3W · pith_short_16: VDIGZWO6AI3WXEEH · pith_short_8: VDIGZWO6

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/VDIGZWO6AI3WXEEHDK3ELXW4V2 \
  | 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: a8d06cd9de02376b90871ab645dedcae8927328f4be80962a1d91e9740a6ab86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cac1e2b2193fa35873f76e5831124a7ff4af6a96fd9d50915d6a48e1ab8f8ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-16T03:29:14Z",
    "title_canon_sha256": "c34465f1a9dae6cb290656377b1c2d24619608d7668397f8150a7606e51912df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3452",
    "kind": "arxiv",
    "version": 1
  }
}