pith. sign in
Pith Number

pith:YN65RKCW

pith:2016:YN65RKCWJFH3E6YRUZ7WENODM6
not attested not anchored not stored refs pending

The wave equation for stiff strings and piano tuning

Tom\'as Sanz-Perela, Xavier Gr\`acia

arxiv:1603.05516 v2 · 2016-03-16 · physics.class-ph · math.AP · math.HO · physics.pop-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YN65RKCWJFH3E6YRUZ7WENODM6}

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 2026-05-18T00:00:33.027112Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c37dd8a856494fb27b11a67f6235c367abe594778a6b6af056cfae9991ea7f3e

Aliases

arxiv: 1603.05516 · arxiv_version: 1603.05516v2 · doi: 10.48550/arxiv.1603.05516 · pith_short_12: YN65RKCWJFH3 · pith_short_16: YN65RKCWJFH3E6YR · pith_short_8: YN65RKCW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YN65RKCWJFH3E6YRUZ7WENODM6 \
  | 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: c37dd8a856494fb27b11a67f6235c367abe594778a6b6af056cfae9991ea7f3e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a893692c5e488ba7be7cab98bd5541de0239551a5c4a43b6e8c3d017b7361b69",
    "cross_cats_sorted": [
      "math.AP",
      "math.HO",
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-03-16T09:50:07Z",
    "title_canon_sha256": "23bb34a5d6b5d9c1f3e22a7a00d0e9f015828026c72c1d2a98bec59fd699e3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05516",
    "kind": "arxiv",
    "version": 2
  }
}