Pith Number

pith:T6G3LZMX

pith:2018:T6G3LZMXCGFTF5OUSXQVSO6653

not attested not anchored not stored refs pending

Maximal metrics for the first Steklov eigenvalue on surfaces

Mikhail Karpukhin

arxiv:1801.06914 v1 · 2018-01-22 · 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{T6G3LZMXCGFTF5OUSXQVSO6653}

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	2026-05-18T00:25:22.805781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8db5e597118b32f5d495e1593bdeeef2ee8212a18f0182c7219ed2296e3a35

Aliases

arxiv: 1801.06914 · arxiv_version: 1801.06914v1 · doi: 10.48550/arxiv.1801.06914 · pith_short_12: T6G3LZMXCGFT · pith_short_16: T6G3LZMXCGFTF5OU · pith_short_8: T6G3LZMX

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/T6G3LZMXCGFTF5OUSXQVSO6653 \
  | 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: 9f8db5e597118b32f5d495e1593bdeeef2ee8212a18f0182c7219ed2296e3a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612d0f40c27f11a89cbdb32d2f2ea6f52c1fe658df0e70b524cec45d7fda7b0a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-22T00:02:43Z",
    "title_canon_sha256": "ecee62fcb718541b316892ea3c6a309453d1a4b4349a4518e160b337ede6587b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06914",
    "kind": "arxiv",
    "version": 1
  }
}