Pith Number

pith:63IKUQC2

pith:2010:63IKUQC2C4WJHZDO6OKBBCXHCG

not attested not anchored not stored refs pending

Minimal translation surfaces in $Sol_3$

Marian Ioan Munteanu, Rafael L\'opez

arxiv:1010.1085 v1 · 2010-10-06 · 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{63IKUQC2C4WJHZDO6OKBBCXHCG}

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	2026-05-18T04:39:49.868877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d0aa405a172c93e46ef394108ae711b4747780767c03b78e52dad6e56be59b

Aliases

arxiv: 1010.1085 · arxiv_version: 1010.1085v1 · doi: 10.48550/arxiv.1010.1085 · pith_short_12: 63IKUQC2C4WJ · pith_short_16: 63IKUQC2C4WJHZDO · pith_short_8: 63IKUQC2

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/63IKUQC2C4WJHZDO6OKBBCXHCG \
  | 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: f6d0aa405a172c93e46ef394108ae711b4747780767c03b78e52dad6e56be59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a36bf2c826434b80591fbc6144d236bb76c48a3630132befbc2c45ca95591a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-06T08:21:44Z",
    "title_canon_sha256": "2e2322451212c3d326238a9de6908d9b7db08f99aa488b49f76735de7b80d225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1085",
    "kind": "arxiv",
    "version": 1
  }
}