Pith Number

pith:PO22CYYX

pith:2015:PO22CYYX6AZGQXAMQ7WLTOBGHE

not attested not anchored not stored refs pending

A multilayer shallow model for dry granular flows with the $\mu(I)$ rheology: Application to granular collapse on erodible beds

Anne Mangeney, Enrique D. Fern\'andez-Nieto, Gladys Narbona-Reina, Jos\'e Garres-D\'iaz

arxiv:1507.06546 v1 · 2015-07-23 · math-ph · math.MP · 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{PO22CYYX6AZGQXAMQ7WLTOBGHE}

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	2026-05-18T01:11:46.781673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb5a16317f032685c0c87ecb9b826393fca371267428398b635208ba815a59a

Aliases

arxiv: 1507.06546 · arxiv_version: 1507.06546v1 · doi: 10.48550/arxiv.1507.06546 · pith_short_12: PO22CYYX6AZG · pith_short_16: PO22CYYX6AZGQXAM · pith_short_8: PO22CYYX

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/PO22CYYX6AZGQXAMQ7WLTOBGHE \
  | 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: 7bb5a16317f032685c0c87ecb9b826393fca371267428398b635208ba815a59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546df46a0af42e78802f9c6d35a6f992af6f968653fe00a2d1bd0962b041215d",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-23T16:08:00Z",
    "title_canon_sha256": "3582a741ecd6258f6798014e453613e1246e561dd6af4b66a2c6885e47b288eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06546",
    "kind": "arxiv",
    "version": 1
  }
}