Pith Number

pith:Y5TVFIU2

pith:2025:Y5TVFIU2DYADSCTFTXPCGMH776

not attested not anchored not stored refs pending

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem

Gabriel R. de Andrade Silva

arxiv:2507.08008 v1 · 2025-07-02 · physics.class-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5TVFIU2DYADSCTFTXPCGMH776}

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	2026-07-05T11:35:15.575742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76752a29a1e00390a659dde2330ffff9efc6f41d7b3c255bff6394a7a9e3ca9

Aliases

arxiv: 2507.08008 · arxiv_version: 2507.08008v1 · doi: 10.48550/arxiv.2507.08008 · pith_short_12: Y5TVFIU2DYAD · pith_short_16: Y5TVFIU2DYADSCTF · pith_short_8: Y5TVFIU2

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/Y5TVFIU2DYADSCTFTXPCGMH776 \
  | 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: c76752a29a1e00390a659dde2330ffff9efc6f41d7b3c255bff6394a7a9e3ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ba01213ab6a893fee1774856744ab3e33af2a80f83e36533e9e782768d6985",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2025-07-02T00:50:18Z",
    "title_canon_sha256": "37a6b7675ddfc34307e1c132fa69047f7f66b3eb9c5457bd0c42a41cd3e24f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08008",
    "kind": "arxiv",
    "version": 1
  }
}