Pith Number

pith:QHV6OASD

pith:2024:QHV6OASD3BHA5GKNOGNIUMJK5D

not attested not anchored not stored refs pending

Closed mean curvature flows with asymptotically conical singularities

Tang-Kai Lee, Xinrui Zhao

arxiv:2405.15577 v3 · 2024-05-24 · math.DG · 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{QHV6OASD3BHA5GKNOGNIUMJK5D}

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	2026-07-05T08:54:51.398885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ebe70243d84e0e994d719a8a312ae8e31b2f422b1aa0911ec08bea807e9ceb

Aliases

arxiv: 2405.15577 · arxiv_version: 2405.15577v3 · doi: 10.48550/arxiv.2405.15577 · pith_short_12: QHV6OASD3BHA · pith_short_16: QHV6OASD3BHA5GKN · pith_short_8: QHV6OASD

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/QHV6OASD3BHA5GKNOGNIUMJK5D \
  | 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: 81ebe70243d84e0e994d719a8a312ae8e31b2f422b1aa0911ec08bea807e9ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9c8c969c4cba03aebab26b8fbaa7d82ab63eb19ac6f65082f450edf57c9751",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-05-24T14:06:01Z",
    "title_canon_sha256": "4f6952fce51fab154250c2aac4e07c35825a3c4c657482eebcd55b750c9d0571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.15577",
    "kind": "arxiv",
    "version": 3
  }
}