Pith Number

pith:X4MJLFFH

pith:2023:X4MJLFFH4U3FS3QTJMPZ4GV7HQ

not attested not anchored not stored refs pending

Classification of branched Willmore spheres

Dorian Martino

arxiv:2306.07965 v2 · 2023-06-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4MJLFFH4U3FS3QTJMPZ4GV7HQ}

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.

Cited by

1 paper in Pith

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

Receipt and verification

First computed	2026-07-05T08:38:02.228559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf189594a7e536596e134b1f9e1abf3c0080d37af144558b435d6fabcf165cfc

Aliases

arxiv: 2306.07965 · arxiv_version: 2306.07965v2 · doi: 10.48550/arxiv.2306.07965 · pith_short_12: X4MJLFFH4U3F · pith_short_16: X4MJLFFH4U3FS3QT · pith_short_8: X4MJLFFH

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/X4MJLFFH4U3FS3QTJMPZ4GV7HQ \
  | 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: bf189594a7e536596e134b1f9e1abf3c0080d37af144558b435d6fabcf165cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5f4d4b7b46b7df8d6b266e26e248c68a6d9a53cdffc37b4d0d1bcbdf5f5abc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-06-13T17:58:59Z",
    "title_canon_sha256": "d53cf38725eb7fbda831adfc3489ed4038fc0fa1e91e62398ad7a989452532eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07965",
    "kind": "arxiv",
    "version": 2
  }
}