pith. sign in
Pith Number

pith:HDEB3NQU

pith:2015:HDEB3NQURLAIYWT6FEVLLKTV2P
not attested not anchored not stored refs pending

Wave mechanics in media pinned at Bravais lattice points

Ben Maling, Mehul Makwana, Richard Craster, Sebastien Guenneau, Tryfon Antonakakis

arxiv:1505.02889 v1 · 2015-05-12 · cond-mat.mtrl-sci · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HDEB3NQURLAIYWT6FEVLLKTV2P}

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 2026-05-18T02:14:15.712645Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

38c81db6148ac08c5a7e292ab5aa75d3e2ac6e07c91d95ed6b9ef396fedde7f7

Aliases

arxiv: 1505.02889 · arxiv_version: 1505.02889v1 · doi: 10.48550/arxiv.1505.02889 · pith_short_12: HDEB3NQURLAI · pith_short_16: HDEB3NQURLAIYWT6 · pith_short_8: HDEB3NQU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HDEB3NQURLAIYWT6FEVLLKTV2P \
  | 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: 38c81db6148ac08c5a7e292ab5aa75d3e2ac6e07c91d95ed6b9ef396fedde7f7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a48f601329906235506c1f95c0bebd75d0f424adcbdf2ab52ee559d52e0e69e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2015-05-12T07:28:00Z",
    "title_canon_sha256": "a15c7ebcfff36177679a102424768a8745d56517ea10c99bad60603920c12e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02889",
    "kind": "arxiv",
    "version": 1
  }
}