Pith Number

pith:H5HKI2TZ

pith:2013:H5HKI2TZH4XSO54YCJPVJEBKJT

not attested not anchored not stored refs pending

Maximization of the first nontrivial eigenvalue on the surface of genus two

Mikhail A. Karpukhin

arxiv:1309.5057 v2 · 2013-09-19 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5HKI2TZH4XSO54YCJPVJEBKJT}

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	2026-05-18T02:45:31.918682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f4ea46a793f2f277798125f54902a4cc598451add27b2bf3fda43f7172e896d

Aliases

arxiv: 1309.5057 · arxiv_version: 1309.5057v2 · doi: 10.48550/arxiv.1309.5057 · pith_short_12: H5HKI2TZH4XS · pith_short_16: H5HKI2TZH4XSO54Y · pith_short_8: H5HKI2TZ

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/H5HKI2TZH4XSO54YCJPVJEBKJT \
  | 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: 3f4ea46a793f2f277798125f54902a4cc598451add27b2bf3fda43f7172e896d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758dfcde70077c86cfc02e1e602e4af3c2d8182d4d16181fe8d0bc5a4d7d2954",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-19T17:35:30Z",
    "title_canon_sha256": "9314c87ce0211ee566d268a29f15418b40b17e81b4f47c48418680a17dbf071d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5057",
    "kind": "arxiv",
    "version": 2
  }
}