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Pith Number

pith:D2P4FYP5

pith:2019:D2P4FYP55VAA7722BR2M4A2OW4
not attested not anchored not stored refs pending

On a thin film model with insoluble surfactant

Gabriele Bruell, Rafael Granero-Belinch\'on

arxiv:1908.06406 v2 · 2019-08-18 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D2P4FYP55VAA7722BR2M4A2OW4}

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 2026-07-04T23:58:29.263234Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1e9fc2e1fded400fff5a0c74ce034eb72d202ccd9cd20890fd94e1fade2ffd4f

Aliases

arxiv: 1908.06406 · arxiv_version: 1908.06406v2 · doi: 10.48550/arxiv.1908.06406 · pith_short_12: D2P4FYP55VAA · pith_short_16: D2P4FYP55VAA7722 · pith_short_8: D2P4FYP5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D2P4FYP55VAA7722BR2M4A2OW4 \
  | 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: 1e9fc2e1fded400fff5a0c74ce034eb72d202ccd9cd20890fd94e1fade2ffd4f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d4974094ca0478eb1d2b77073937d707643bd4655ee57f97852bebe013d30907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-18T09:26:38Z",
    "title_canon_sha256": "ccbf4aa59d60b99f4b8ad9c66ae9b00cb8eb208a3e8d8af5babc8ffdc6c73f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06406",
    "kind": "arxiv",
    "version": 2
  }
}