Pith Number

pith:CUBMLW7B

pith:2025:CUBMLW7BH34KB5ODNN6TUIWLIJ

not attested not anchored not stored refs pending

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

David Wiygul, Mario B. Schulz

arxiv:2507.22531 v1 · 2025-07-30 · 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{CUBMLW7BH34KB5ODNN6TUIWLIJ}

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	2026-07-05T11:45:44.000826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1502c5dbe13ef8a0f5c36b7d3a22cb424551aafe117d1325eb42f81f85cb3916

Aliases

arxiv: 2507.22531 · arxiv_version: 2507.22531v1 · doi: 10.48550/arxiv.2507.22531 · pith_short_12: CUBMLW7BH34K · pith_short_16: CUBMLW7BH34KB5OD · pith_short_8: CUBMLW7B

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/CUBMLW7BH34KB5ODNN6TUIWLIJ \
  | 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: 1502c5dbe13ef8a0f5c36b7d3a22cb424551aafe117d1325eb42f81f85cb3916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ddac55255add4335d5cdea40f8cccce88a261d43f38a68970062fc264e9a35f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-30T10:00:37Z",
    "title_canon_sha256": "baaa95db658c261f2aa3fc3c3031f8f2365d2bc96c45a84b53e045283992c9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22531",
    "kind": "arxiv",
    "version": 1
  }
}