Pith Number

pith:O5XYBJZ4

pith:2013:O5XYBJZ4ZXVD6NUJ2YAUUSQ6RE

not attested not anchored not stored refs pending

Ramification of the Gauss Map of Complete Minimal Surfaces in R^3 and R^4 on Annular Ends

Gerd Dethloff (LMBA), Pham Hoang Ha

arxiv:1304.7065 v2 · 2013-04-26 · math.CV · 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{O5XYBJZ4ZXVD6NUJ2YAUUSQ6RE}

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	2026-05-18T02:32:31.144063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776f80a73ccdea3f3689d6014a4a1e89043b57997b5b9dfa74cbbb0a3303fe0f

Aliases

arxiv: 1304.7065 · arxiv_version: 1304.7065v2 · doi: 10.48550/arxiv.1304.7065 · pith_short_12: O5XYBJZ4ZXVD · pith_short_16: O5XYBJZ4ZXVD6NUJ · pith_short_8: O5XYBJZ4

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/O5XYBJZ4ZXVD6NUJ2YAUUSQ6RE \
  | 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: 776f80a73ccdea3f3689d6014a4a1e89043b57997b5b9dfa74cbbb0a3303fe0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f6a729c84e779920778e851ed7dd90f00ad0671824475ef78a0bd68a50c57a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-26T04:27:33Z",
    "title_canon_sha256": "55ec8ead94c39bdb1d53fd3f14cd9c1f492b69f95ca13b2c941fa0cd62a95142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7065",
    "kind": "arxiv",
    "version": 2
  }
}