Pith Number

pith:MGADJGV2

pith:2015:MGADJGV2IBUOB7C4QUUZ727QOZ

not attested not anchored not stored refs pending

Uniform Regularity and Convergence of Phase-Fields for Willmore's Energy

Patrick Dondl, Stephan Wojtowytsch

arxiv:1512.08641 v3 · 2015-12-29 · 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{MGADJGV2IBUOB7C4QUUZ727QOZ}

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	2026-05-18T00:43:03.157876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6180349aba4068e0fc5c85299febf0764b423153588cc10cf73a1449a19c9115

Aliases

arxiv: 1512.08641 · arxiv_version: 1512.08641v3 · doi: 10.48550/arxiv.1512.08641 · pith_short_12: MGADJGV2IBUO · pith_short_16: MGADJGV2IBUOB7C4 · pith_short_8: MGADJGV2

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/MGADJGV2IBUOB7C4QUUZ727QOZ \
  | 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: 6180349aba4068e0fc5c85299febf0764b423153588cc10cf73a1449a19c9115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c211402a5195be3f4051ee16adaf3fb488fcfd5f63985f6cffd24b70282717e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-29T10:02:21Z",
    "title_canon_sha256": "1248fa0fc00d7e7452883ae80f4b3972722ad6dd19471e15b8cb221b30741862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08641",
    "kind": "arxiv",
    "version": 3
  }
}