Pith Number

pith:U7YDDRUK

pith:2022:U7YDDRUK7MIQMHGAPZPY5K27YD

not attested not anchored not stored refs pending

Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group

Alessandro Carlotto, David Wiygul, Mario B. Schulz

arxiv:2205.04861 v3 · 2022-05-10 · 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{U7YDDRUK7MIQMHGAPZPY5K27YD}

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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

A new family of minimal surfaces of even genus in the three-dimensional sphere

Receipt and verification

First computed	2026-07-05T06:58:04.877344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f031c68afb11061cc07e5f8eab5fc0f409cde26b061b950ac213bc49b88d4d

Aliases

arxiv: 2205.04861 · arxiv_version: 2205.04861v3 · doi: 10.48550/arxiv.2205.04861 · pith_short_12: U7YDDRUK7MIQ · pith_short_16: U7YDDRUK7MIQMHGA · pith_short_8: U7YDDRUK

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/U7YDDRUK7MIQMHGAPZPY5K27YD \
  | 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: a7f031c68afb11061cc07e5f8eab5fc0f409cde26b061b950ac213bc49b88d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9375f85d1b436feedf3902dc358fb46ae3626b2a32443815561f5d3c61cf058f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-05-10T13:00:25Z",
    "title_canon_sha256": "52f91d9f9dbae0dfd082a7e7b7e520050467b4145cfac3bc89f503546bc49cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.04861",
    "kind": "arxiv",
    "version": 3
  }
}