Pith Number

pith:5M46MH3C

pith:2013:5M46MH3C6IQNTMVON7ODUPHFTO

not attested not anchored not stored refs pending

Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches

Pablo Alvarez-Caudevilla, Victor A. Galaktionov

arxiv:1311.0712 v2 · 2013-11-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5M46MH3C6IQNTMVON7ODUPHFTO}

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	2026-05-18T02:50:50.406573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb39e61f62f220d9b2ae6fdc3a3ce59bb55a0e54798ddc31f6c7e83e85b9b6a4

Aliases

arxiv: 1311.0712 · arxiv_version: 1311.0712v2 · doi: 10.48550/arxiv.1311.0712 · pith_short_12: 5M46MH3C6IQN · pith_short_16: 5M46MH3C6IQNTMVO · pith_short_8: 5M46MH3C

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/5M46MH3C6IQNTMVON7ODUPHFTO \
  | 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: eb39e61f62f220d9b2ae6fdc3a3ce59bb55a0e54798ddc31f6c7e83e85b9b6a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d3428b380259d46d0d506d13c854911ad5e547fc53986e09356174c906b983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-04T14:30:07Z",
    "title_canon_sha256": "0d8a64ac4e4cecbfeefbccaa9b9a7084b699e4596bbe8961c14893140f92692f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0712",
    "kind": "arxiv",
    "version": 2
  }
}