Pith Number

pith:SNW5Z7RK

pith:2013:SNW5Z7RKD2YFF4GF3ADC2QF7QR

not attested not anchored not stored refs pending

Anomalous localized resonance using a folded geometry in three dimensions

Giulio Ciraolo, Graeme W. Milton, Habib Ammari, Hyeonbae Kang, Hyundae Lee

arxiv:1301.5712 v1 · 2013-01-24 · 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{SNW5Z7RKD2YFF4GF3ADC2QF7QR}

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	2026-05-18T01:51:59.102496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936ddcfe2a1eb052f0c5d8062d40bf8469da4822ff73f3876c2eddc72179fae5

Aliases

arxiv: 1301.5712 · arxiv_version: 1301.5712v1 · doi: 10.48550/arxiv.1301.5712 · pith_short_12: SNW5Z7RKD2YF · pith_short_16: SNW5Z7RKD2YFF4GF · pith_short_8: SNW5Z7RK

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/SNW5Z7RKD2YFF4GF3ADC2QF7QR \
  | 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: 936ddcfe2a1eb052f0c5d8062d40bf8469da4822ff73f3876c2eddc72179fae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c69155364ea30ed8e29944daac53d9adefc77c30557608512d3e85de9c6fe4",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-24T06:54:21Z",
    "title_canon_sha256": "6da98ecc7e1991cd5e54077810b8067ef02380be167793f4e1c4551329ebaed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5712",
    "kind": "arxiv",
    "version": 1
  }
}