Pith Number

pith:35TNB2X3

pith:2010:35TNB2X3QSMDH6EHI2TNPC3EJC

not attested not anchored not stored refs pending

A lattice model for resonance in open periodic waveguides

Natalia Ptitsyna, Stephen P. Shipman

arxiv:1101.0170 v1 · 2010-12-30 · 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{35TNB2X3QSMDH6EHI2TNPC3EJC}

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	2026-05-18T04:32:10.914587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df66d0eafb849833f88746a6d78b6448a09218d589b05496f9a44f8be8969bbe

Aliases

arxiv: 1101.0170 · arxiv_version: 1101.0170v1 · doi: 10.48550/arxiv.1101.0170 · pith_short_12: 35TNB2X3QSMD · pith_short_16: 35TNB2X3QSMDH6EH · pith_short_8: 35TNB2X3

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/35TNB2X3QSMDH6EHI2TNPC3EJC \
  | 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: df66d0eafb849833f88746a6d78b6448a09218d589b05496f9a44f8be8969bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74be6043b2151b11f4c37d762e3d22980144e1c2410e0f4bf726b94b172482eb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-30T22:39:24Z",
    "title_canon_sha256": "f17b89695e91dc55a29b3f4050024fc02aed46d707d4e7b58340a86c0ffa589a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0170",
    "kind": "arxiv",
    "version": 1
  }
}