Pith Number

pith:WCYCKPAN

pith:2022:WCYCKPANNVT73RVIMXRBDFR4QL

not attested not anchored not stored refs pending

Moving monotonicity formulae for minimal submanifolds in constant curvature

Jonathan J. Zhu, Keaton Naff

arxiv:2210.03263 v1 · 2022-10-07 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCYCKPANNVT73RVIMXRBDFR4QL}

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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

Monotonicity formulas for minimal submanifolds involving M\"obius transformations

Receipt and verification

First computed	2026-07-05T05:04:18.046098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b0253c0d6d67fdc6a865e211963c82fa3dd8facffac3250ed924b46159d5fd

Aliases

arxiv: 2210.03263 · arxiv_version: 2210.03263v1 · doi: 10.48550/arxiv.2210.03263 · pith_short_12: WCYCKPANNVT7 · pith_short_16: WCYCKPANNVT73RVI · pith_short_8: WCYCKPAN

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/WCYCKPANNVT73RVIMXRBDFR4QL \
  | 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: b0b0253c0d6d67fdc6a865e211963c82fa3dd8facffac3250ed924b46159d5fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6723d0c82b9d62f8b78f97b69c8378ecf60edc179e7569ef4c0555043df314d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-10-07T00:07:49Z",
    "title_canon_sha256": "d2cf65f1ff7306a2d3431961f8f76dbc6949380bd3143190a47a2c3ae3bf5004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.03263",
    "kind": "arxiv",
    "version": 1
  }
}