Pith Number

pith:MPELM5KR

pith:2019:MPELM5KRV2MVWYJ64IC2Z2NB4K

not attested not anchored not stored refs pending

Stable approximations for axisymmetric Willmore flow for closed and open surfaces

Harald Garcke, John W. Barrett, Robert N\"urnberg

arxiv:1911.01132 v4 · 2019-11-04 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPELM5KRV2MVWYJ64IC2Z2NB4K}

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	2026-07-05T02:37:40.212678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c8b67551ae995b613ee205ace9a1e2a248c20dfc00cdc57e9fe6875f1604ac

Aliases

arxiv: 1911.01132 · arxiv_version: 1911.01132v4 · doi: 10.48550/arxiv.1911.01132 · pith_short_12: MPELM5KRV2MV · pith_short_16: MPELM5KRV2MVWYJ6 · pith_short_8: MPELM5KR

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/MPELM5KRV2MVWYJ64IC2Z2NB4K \
  | 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: 63c8b67551ae995b613ee205ace9a1e2a248c20dfc00cdc57e9fe6875f1604ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1fefec7c40d529cbf742eca07e2f4344b413b60b47c8a60df278708571c4e2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-11-04T11:07:38Z",
    "title_canon_sha256": "bc7b7bb7476ba32a746466b8d1854bceaee691e222ea6299a5252799637ca9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01132",
    "kind": "arxiv",
    "version": 4
  }
}