Pith Number

pith:V4UQV42S

pith:2015:V4UQV42SYI456CCQRDHMBVI4CR

not attested not anchored not stored refs pending

Closed Mean Curvature Self-Shrinking Surfaces of Generalized Rotational Type

Peter McGrath

arxiv:1507.00681 v1 · 2015-07-02 · 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{V4UQV42SYI456CCQRDHMBVI4CR}

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.

Cited by

1 paper in Pith

Existence of rotationally symmetric embedded f-minimal tori

Receipt and verification

First computed	2026-05-18T01:37:23.901852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af290af352c239df085088cec0d51c1465488fb842bb71c06a03c81f72854f77

Aliases

arxiv: 1507.00681 · arxiv_version: 1507.00681v1 · doi: 10.48550/arxiv.1507.00681 · pith_short_12: V4UQV42SYI45 · pith_short_16: V4UQV42SYI456CCQ · pith_short_8: V4UQV42S

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/V4UQV42SYI456CCQRDHMBVI4CR \
  | 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: af290af352c239df085088cec0d51c1465488fb842bb71c06a03c81f72854f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3444a7ceb8ce7b0b42ab815efe9c40cb305e26a0cb12fb919aae832dde88296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-02T18:13:34Z",
    "title_canon_sha256": "0e703bbadc982a1e0bcd2bf53190bcaf9bd6941b0ad25703027628e0c27a23b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00681",
    "kind": "arxiv",
    "version": 1
  }
}