Pith Number

pith:DUNQTLVH

pith:2017:DUNQTLVHR7UYABNZ3GYRU67RYJ

not attested not anchored not stored refs pending

Modified defect relations of the Gauss map and the total curvature of a complete minimal surface

Pham Hoang Ha

arxiv:1710.03601 v2 · 2017-10-09 · 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{DUNQTLVHR7UYABNZ3GYRU67RYJ}

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	2026-05-18T00:33:01.679212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1b09aea78fe98005b9d9b11a7bf1c249d9522b5fff5f5b7b9399cc87992c0e

Aliases

arxiv: 1710.03601 · arxiv_version: 1710.03601v2 · doi: 10.48550/arxiv.1710.03601 · pith_short_12: DUNQTLVHR7UY · pith_short_16: DUNQTLVHR7UYABNZ · pith_short_8: DUNQTLVH

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/DUNQTLVHR7UYABNZ3GYRU67RYJ \
  | 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: 1d1b09aea78fe98005b9d9b11a7bf1c249d9522b5fff5f5b7b9399cc87992c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8135f9085de98d5c618e7321c288ea900247311a9bdc2d08ceb86dd848e92c94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-09T14:53:38Z",
    "title_canon_sha256": "79e32a30904969cd9956021799ba1cbf354119f90f2e3be864ea7c3c5297df46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03601",
    "kind": "arxiv",
    "version": 2
  }
}