Pith Number

pith:A534LT7I

pith:2013:A534LT7IKRGFXTUT25CVGQJH43

not attested not anchored not stored refs pending

Spectral properties of a family of minimal tori of revolution in five-dimensional sphere

Mikhail Karpukhin

arxiv:1301.2483 v1 · 2013-01-11 · 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{A534LT7IKRGFXTUT25CVGQJH43}

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	2026-05-18T03:36:37.804577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0777c5cfe8544c5bce93d745534127e6cf6cc56d99bf9361366eb6b95e9c86cc

Aliases

arxiv: 1301.2483 · arxiv_version: 1301.2483v1 · doi: 10.48550/arxiv.1301.2483 · pith_short_12: A534LT7IKRGF · pith_short_16: A534LT7IKRGFXTUT · pith_short_8: A534LT7I

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/A534LT7IKRGFXTUT25CVGQJH43 \
  | 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: 0777c5cfe8544c5bce93d745534127e6cf6cc56d99bf9361366eb6b95e9c86cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a29deefc176c12e2beee9d1c44d8941515daf6a982c303a467b01d2c79d9818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-11T12:56:47Z",
    "title_canon_sha256": "9f57f4a8479de0c8e70074962574ce1a5ae4c707c932868ce6753432303735b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2483",
    "kind": "arxiv",
    "version": 1
  }
}