Pith Number

pith:MEUQR5VK

pith:2012:MEUQR5VK6FINZCKRJ5E7ZPDB5H

not attested not anchored not stored refs pending

Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space

Georgi Ganchev, Velichka Milousheva

arxiv:1210.2741 v1 · 2012-10-09 · 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{MEUQR5VK6FINZCKRJ5E7ZPDB5H}

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	2026-05-18T02:39:25.820054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612908f6aaf150dc89514f49fcbc61e9cca0bbd7c0e2eae2038e139dc34aa5d3

Aliases

arxiv: 1210.2741 · arxiv_version: 1210.2741v1 · doi: 10.48550/arxiv.1210.2741 · pith_short_12: MEUQR5VK6FIN · pith_short_16: MEUQR5VK6FINZCKR · pith_short_8: MEUQR5VK

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/MEUQR5VK6FINZCKRJ5E7ZPDB5H \
  | 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: 612908f6aaf150dc89514f49fcbc61e9cca0bbd7c0e2eae2038e139dc34aa5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b371e3c9bb4d9f4c3a50f83a5bb2a149ddb1eb0539ae96cb46c18be0b097670a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-09T20:25:01Z",
    "title_canon_sha256": "0ec59d252fa3b7d86cb8025c9adf05ff1ef3796e07037047fc43bfc480337566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2741",
    "kind": "arxiv",
    "version": 1
  }
}