Pith Number

pith:KCKXGGMK

pith:2016:KCKXGGMKWIFMVWBSUJVK4F5QMI

not attested not anchored not stored refs pending

Modeling and Analysis of a Two-Phase Thin Film Model with Insoluble Surfactant

Gabriele Bruell

arxiv:1607.01439 v1 · 2016-07-05 · 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{KCKXGGMKWIFMVWBSUJVK4F5QMI}

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	2026-05-18T01:11:26.411180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509573198ab20acad832a26aae17b0621d87ddc1784bedca820a1ae9fcc45c27

Aliases

arxiv: 1607.01439 · arxiv_version: 1607.01439v1 · doi: 10.48550/arxiv.1607.01439 · pith_short_12: KCKXGGMKWIFM · pith_short_16: KCKXGGMKWIFMVWBS · pith_short_8: KCKXGGMK

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/KCKXGGMKWIFMVWBSUJVK4F5QMI \
  | 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: 509573198ab20acad832a26aae17b0621d87ddc1784bedca820a1ae9fcc45c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e08d32e4e81ba6de194cee833ce0ab2d17071e5ab9118182f9850a6d2e78cf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-05T23:53:12Z",
    "title_canon_sha256": "2aa2f8c5c4c682673894c16221917d6fb98d2d26f360ad3dac641b4aaf8ea4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01439",
    "kind": "arxiv",
    "version": 1
  }
}