Pith Number

pith:H7EZFCAW

pith:2011:H7EZFCAWA42YYMA4PUMVVM7MBT

not attested not anchored not stored refs pending

Sums of magnetic eigenvalues are maximal on rotationally symmetric domains

Arindam Roy, Jian Liang, Richard S. Laugesen

arxiv:1104.1272 v1 · 2011-04-07 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7EZFCAWA42YYMA4PUMVVM7MBT}

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	2026-05-18T02:02:36.857013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc992881607358c301c7d195ab3ec0cf2959411ba8f554deb1343fd1db9bf6a

Aliases

arxiv: 1104.1272 · arxiv_version: 1104.1272v1 · doi: 10.48550/arxiv.1104.1272 · pith_short_12: H7EZFCAWA42Y · pith_short_16: H7EZFCAWA42YYMA4 · pith_short_8: H7EZFCAW

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/H7EZFCAWA42YYMA4PUMVVM7MBT \
  | 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: 3fc992881607358c301c7d195ab3ec0cf2959411ba8f554deb1343fd1db9bf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e6901918d216f4982e32452f09fd932d04754cc99458d1e8e2c50020c56278",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-07T08:58:00Z",
    "title_canon_sha256": "b4372c74e45806f7bc8b4d1d532ddb763fa54be180fe9853a9c06d51475fe3d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1272",
    "kind": "arxiv",
    "version": 1
  }
}