Pith Number

pith:3UN2FDO7

pith:2013:3UN2FDO7ZAV3BAF3RHVQI3Q3JI

not attested not anchored not stored refs pending

Effect of loss on the dispersion relation of photonic and phononic crystals

Alejandro Martinez, Jose Maria Escalante, Vincent Laude

arxiv:1309.0080 v2 · 2013-08-31 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UN2FDO7ZAV3BAF3RHVQI3Q3JI}

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	2026-05-18T03:03:56.531356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1ba28ddfc82bb080bb89eb046e1b4a1661cae30e383ee0e65bc82aa2567a38

Aliases

arxiv: 1309.0080 · arxiv_version: 1309.0080v2 · doi: 10.48550/arxiv.1309.0080 · pith_short_12: 3UN2FDO7ZAV3 · pith_short_16: 3UN2FDO7ZAV3BAF3 · pith_short_8: 3UN2FDO7

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/3UN2FDO7ZAV3BAF3RHVQI3Q3JI \
  | 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: dd1ba28ddfc82bb080bb89eb046e1b4a1661cae30e383ee0e65bc82aa2567a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282f55391176e7e9254a7e488d8f4bb01e391c6cfab510e7a0624e3c5c521a90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-08-31T09:07:18Z",
    "title_canon_sha256": "3fe833667a846066d7f517c1220722dedad991a8d77cc3c25bd271b17d7c0c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0080",
    "kind": "arxiv",
    "version": 2
  }
}