Pith Number

pith:TTDPE27Z

pith:2017:TTDPE27Z6D5OA7RYQKM37UAUOX

not attested not anchored not stored refs pending

Kinetic modeling of multiple scattering of acoustic waves in randomly heterogeneous flows

\'Eric Savin, Jean-Luc Akian

arxiv:1710.03621 v4 · 2017-10-10 · math-ph · 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{TTDPE27Z6D5OA7RYQKM37UAUOX}

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	2026-07-05T03:10:47.875178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc6f26bf9f0fae07e388299bfd01475c7c034ad615f1e1d7b79ed213aadb293

Aliases

arxiv: 1710.03621 · arxiv_version: 1710.03621v4 · doi: 10.48550/arxiv.1710.03621 · pith_short_12: TTDPE27Z6D5O · pith_short_16: TTDPE27Z6D5OA7RY · pith_short_8: TTDPE27Z

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/TTDPE27Z6D5OA7RYQKM37UAUOX \
  | 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: 9cc6f26bf9f0fae07e388299bfd01475c7c034ad615f1e1d7b79ed213aadb293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323a1650c445b02e4a4bb370d0f127ce97a42449b1d1099244251bceadef8767",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-10-10T14:26:43Z",
    "title_canon_sha256": "c9e7497c649209addfa9b8e42db05f455b2a66b88964fce672b78672e6c38f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03621",
    "kind": "arxiv",
    "version": 4
  }
}