Pith Number

pith:4U2DE7DM

pith:2024:4U2DE7DMSUOYD6DPGCDNFRGE7V

not attested not anchored not stored refs pending

Genus one critical catenoid

Daniel Ketover, Giada Franz, Mario B. Schulz

arxiv:2409.12588 v1 · 2024-09-19 · 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{4U2DE7DMSUOYD6DPGCDNFRGE7V}

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

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

Receipt and verification

First computed	2026-07-05T09:09:09.249435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e534327c6c951d81f86f3086d2c4c4fd722370780eccc6870cf463a9d247789c

Aliases

arxiv: 2409.12588 · arxiv_version: 2409.12588v1 · doi: 10.48550/arxiv.2409.12588 · pith_short_12: 4U2DE7DMSUOY · pith_short_16: 4U2DE7DMSUOYD6DP · pith_short_8: 4U2DE7DM

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/4U2DE7DMSUOYD6DPGCDNFRGE7V \
  | 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: e534327c6c951d81f86f3086d2c4c4fd722370780eccc6870cf463a9d247789c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5536a112baeb1f40849fe0018aeacc1e5cf7e4cdc02bd1f92708aed8a7faa170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-09-19T09:11:30Z",
    "title_canon_sha256": "469cc5e4c95305e4cedf827f4e44c07ccb615bdcaa0fc6eacc76267ebfb67896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.12588",
    "kind": "arxiv",
    "version": 1
  }
}