Pith Number

pith:2C2VU556

pith:2026:2C2VU556SWSIXJXEQUA6L5ZJTN

not attested not anchored not stored refs pending

Effective mass density for wave propagation in periodic layered media in the elasto-acoustic transition

Gabriel N\'u\~nez, Rapha\"el C. Assier, William J. Parnell

arxiv:2608.07072 v1 · 2026-08-07 · math-ph · cond-mat.mtrl-sci · 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{2C2VU556SWSIXJXEQUA6L5ZJTN}

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	2026-08-10T01:13:07.718896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b55a77be95a48ba6e48501e5f7299b7c7f439dc4e1a0e6a6c5966c32ddbf62

Aliases

arxiv: 2608.07072 · arxiv_version: 2608.07072v1 · doi: 10.48550/arxiv.2608.07072 · pith_short_12: 2C2VU556SWSI · pith_short_16: 2C2VU556SWSIXJXE · pith_short_8: 2C2VU556

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/2C2VU556SWSIXJXEQUA6L5ZJTN \
  | 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: d0b55a77be95a48ba6e48501e5f7299b7c7f439dc4e1a0e6a6c5966c32ddbf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c953c12a18ccbf421538db65ef2c4e9cb45f3ecf245487972c7c908e30fc92",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-07T10:27:02Z",
    "title_canon_sha256": "87c01a263c6a3a04d490cd362b5254b2ec0c44cabf7fcf276c5634185277f6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07072",
    "kind": "arxiv",
    "version": 1
  }
}