Pith Number

pith:BLCIZ7YQ

pith:2014:BLCIZ7YQJO4HZQOE5ACHRAIPZB

not attested not anchored not stored refs pending

Modified defect relations of the Gauss map of complete minimal surfaces on annular ends

Nguyen Hoang Trang, Pham Hoang Ha

arxiv:1408.3075 v1 · 2014-08-13 · 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{BLCIZ7YQJO4HZQOE5ACHRAIPZB}

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	2026-05-18T02:45:15.094491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac48cff104bb87cc1c4e80478810fc869c4584abf2a77f1fcd0c6bbb6cc3cfa

Aliases

arxiv: 1408.3075 · arxiv_version: 1408.3075v1 · doi: 10.48550/arxiv.1408.3075 · pith_short_12: BLCIZ7YQJO4H · pith_short_16: BLCIZ7YQJO4HZQOE · pith_short_8: BLCIZ7YQ

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/BLCIZ7YQJO4HZQOE5ACHRAIPZB \
  | 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: 0ac48cff104bb87cc1c4e80478810fc869c4584abf2a77f1fcd0c6bbb6cc3cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93f5c0b8d1edb9c37c9f8a237a6b0dde89b45943a7ff956c7076146662d5bb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-13T18:16:50Z",
    "title_canon_sha256": "60f801c63569e16cc3dbb0cf944e7bb14b4cfa8753fdc3a73c888a5f93148b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3075",
    "kind": "arxiv",
    "version": 1
  }
}