Pith Number

pith:ZKD6TMUE

pith:2025:ZKD6TMUEXETPYP6G7YHWCYKUKS

not attested not anchored not stored refs pending

Genus two embedded minimal surfaces in $\mathbb{S}^3$ with dihedral symmetry

Joaqu\'in P\'erez, Jos\'e M. Espinar

arxiv:2511.16295 v3 · 2025-11-20 · 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{ZKD6TMUEXETPYP6G7YHWCYKUKS}

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	2026-07-14T01:20:48.697444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca87e9b284b926fc3fc6fe0f616154548f72ab0b9dce5c8ae641c758d5490121

Aliases

arxiv: 2511.16295 · arxiv_version: 2511.16295v3 · doi: 10.48550/arxiv.2511.16295 · pith_short_12: ZKD6TMUEXETP · pith_short_16: ZKD6TMUEXETPYP6G · pith_short_8: ZKD6TMUE

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/ZKD6TMUEXETPYP6G7YHWCYKUKS \
  | 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: ca87e9b284b926fc3fc6fe0f616154548f72ab0b9dce5c8ae641c758d5490121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1810c70528e6a1ea30c8d0c2e773d600d1814ccb3fd1e6d03ffea2271d627c44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-11-20T12:18:23Z",
    "title_canon_sha256": "4792ac07dcdc1a5e38770eece48c813c68ece150c177940e36f374b6f4e8994f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.16295",
    "kind": "arxiv",
    "version": 3
  }
}