Pith Number

pith:CQGEXDGG

pith:2013:CQGEXDGGG5UWEXVZVFKSHKJGEX

not attested not anchored not stored refs pending

Wave propagation in relaxed micromorphic continua: modelling metamaterials with frequency band-gaps

Angela Madeo, Giuseppe Rosi, Ionel-Dumitrel Ghiba, Luca Placidi, Patrizio Neff

arxiv:1309.1722 v1 · 2013-09-05 · cond-mat.mtrl-sci · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQGEXDGGG5UWEXVZVFKSHKJGEX}

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	2026-05-18T01:47:48.916568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

140c4b8cc63769625eb9a95523a92625f746e370438c3da23a36ffab5a1c2d67

Aliases

arxiv: 1309.1722 · arxiv_version: 1309.1722v1 · doi: 10.48550/arxiv.1309.1722 · pith_short_12: CQGEXDGGG5UW · pith_short_16: CQGEXDGGG5UWEXVZ · pith_short_8: CQGEXDGG

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/CQGEXDGGG5UWEXVZVFKSHKJGEX \
  | 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: 140c4b8cc63769625eb9a95523a92625f746e370438c3da23a36ffab5a1c2d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be88bed4c697723965f09a740cb5b696093fe13bfa756f80ae85b01c5340b382",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-09-05T11:11:13Z",
    "title_canon_sha256": "84575697cb96bd45753ed706898f8ae4b2e8ba51b1c6721f90bee986778c8a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1722",
    "kind": "arxiv",
    "version": 1
  }
}