Pith Number

pith:D6J23A5B

pith:2014:D6J23A5BOLN6XCEX2L5MWSGH4Q

not attested not anchored not stored refs pending

Ramification of the Gauss map of complete minimal surfaces in R^m on annular ends

Gerd Dethloff, Pham Duc Thoan, Pham Hoang Ha

arxiv:1411.2730 v1 · 2014-11-11 · math.DG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6J23A5BOLN6XCEX2L5MWSGH4Q}

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	2026-05-18T02:37:53.214243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f93ad83a172dbeb8897d2facb48c7e40ed4748c3d73330c8df5b6d4b4f5379e

Aliases

arxiv: 1411.2730 · arxiv_version: 1411.2730v1 · doi: 10.48550/arxiv.1411.2730 · pith_short_12: D6J23A5BOLN6 · pith_short_16: D6J23A5BOLN6XCEX · pith_short_8: D6J23A5B

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/D6J23A5BOLN6XCEX2L5MWSGH4Q \
  | 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: 1f93ad83a172dbeb8897d2facb48c7e40ed4748c3d73330c8df5b6d4b4f5379e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b95762af910552013e57d272059e992b4ff9404a2c09c5c33a6c58695305f6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-11T08:59:46Z",
    "title_canon_sha256": "da801bc1b67326812d4c39a42ce7cc602b205398973661de86a64e90e279fb4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2730",
    "kind": "arxiv",
    "version": 1
  }
}