pith. sign in
Pith Number

pith:M4QXPRSR

pith:2016:M4QXPRSRPK36XZOMQEMH6GL5PJ
not attested not anchored not stored refs pending

A review on wave propagation modeling in band-gap metamaterials via enriched continuum models

Angela Madeo, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Marco Valerio D'Agostino, Patrizio Neff

arxiv:1609.01073 v1 · 2016-09-05 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M4QXPRSRPK36XZOMQEMH6GL5PJ}

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 2026-05-18T01:06:19.122122Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

672177c6517ab7ebe5cc81187f197d7a7552c1af709b5517fe4ba0e0ac617e5a

Aliases

arxiv: 1609.01073 · arxiv_version: 1609.01073v1 · doi: 10.48550/arxiv.1609.01073 · pith_short_12: M4QXPRSRPK36 · pith_short_16: M4QXPRSRPK36XZOM · pith_short_8: M4QXPRSR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M4QXPRSRPK36XZOMQEMH6GL5PJ \
  | 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: 672177c6517ab7ebe5cc81187f197d7a7552c1af709b5517fe4ba0e0ac617e5a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "41c7b4a79b0f149ae1d0686c0079e190c33ef3f18f9079059ff47557a2fb55ca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-05T09:32:13Z",
    "title_canon_sha256": "87d4b80decccc1ca98511324b7478ae7a1da2cdd8c31fd5e665b11482235aecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01073",
    "kind": "arxiv",
    "version": 1
  }
}