Pith Number

pith:L4U6TGUM

pith:2011:L4U6TGUM6HQWCXLZCVQXYZDECK

not attested not anchored not stored refs pending

Weak solutions to a thin film model with capillary effects and insoluble surfactant

Christoph Walker (IFAM), Joachim Escher (IFAM), Matthieu Hillairet (CEREMADE), Philippe Laurencot (IMT)

arxiv:1109.6762 v1 · 2011-09-30 · 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{L4U6TGUM6HQWCXLZCVQXYZDECK}

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	2026-05-18T03:37:53.251387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f29e99a8cf1e1615d7915617c646412b75f3effc7aea224e1632a2612077931

Aliases

arxiv: 1109.6762 · arxiv_version: 1109.6762v1 · doi: 10.48550/arxiv.1109.6762 · pith_short_12: L4U6TGUM6HQW · pith_short_16: L4U6TGUM6HQWCXLZ · pith_short_8: L4U6TGUM

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/L4U6TGUM6HQWCXLZCVQXYZDECK \
  | 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: 5f29e99a8cf1e1615d7915617c646412b75f3effc7aea224e1632a2612077931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb92b116135613689082072e4afc24d08b63339422dd1d4d4a22ea2e2cf6c1c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-30T09:10:21Z",
    "title_canon_sha256": "f6238c349670b0a7cec75a52e208b0be75e2bf11fce733bce88ae5ac89db536e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6762",
    "kind": "arxiv",
    "version": 1
  }
}