Pith Number

pith:SBAPZZBV

pith:2013:SBAPZZBVYE2LR67NHTBO6IGCBD

not attested not anchored not stored refs pending

Complete non-orientable minimal surfaces in $\mathbb{R}^3$ and asymptotic behavior

Antonio Alarcon, Francisco J. Lopez

arxiv:1312.0513 v2 · 2013-12-02 · 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{SBAPZZBVYE2LR67NHTBO6IGCBD}

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	2026-05-18T02:47:31.408692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9040fce435c134b8fbed3cc2ef20c208c83752e9d1e28279f5578d6a50a2f08a

Aliases

arxiv: 1312.0513 · arxiv_version: 1312.0513v2 · doi: 10.48550/arxiv.1312.0513 · pith_short_12: SBAPZZBVYE2L · pith_short_16: SBAPZZBVYE2LR67N · pith_short_8: SBAPZZBV

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/SBAPZZBVYE2LR67NHTBO6IGCBD \
  | 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: 9040fce435c134b8fbed3cc2ef20c208c83752e9d1e28279f5578d6a50a2f08a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7613734e1e3bfe1d5493a61f6de6d7ba3376eb6fab601ae949af1115781955c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-02T16:47:46Z",
    "title_canon_sha256": "3efe0cb8175b3e608f7dffb7973c72b45c4d8f95a48104f8ac9478be7d9aab75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0513",
    "kind": "arxiv",
    "version": 2
  }
}