Pith Number

pith:ZV2ZT6ET

pith:2013:ZV2ZT6ET5DGK5VXJYJRWULR4AL

not attested not anchored not stored refs pending

The Steklov spectrum of surfaces: asymptotics and invariants

Alexandre Girouard, David A. Sher, Iosif Polterovich, Leonid Parnovski

arxiv:1311.5533 v1 · 2013-11-21 · math.SP · 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{ZV2ZT6ET5DGK5VXJYJRWULR4AL}

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	2026-05-17T23:53:14.856361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7599f893e8ccaed6e9c2636a2e3c02c5a795921e2b409ee57504964c43bc2f

Aliases

arxiv: 1311.5533 · arxiv_version: 1311.5533v1 · doi: 10.48550/arxiv.1311.5533 · pith_short_12: ZV2ZT6ET5DGK · pith_short_16: ZV2ZT6ET5DGK5VXJ · pith_short_8: ZV2ZT6ET

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/ZV2ZT6ET5DGK5VXJYJRWULR4AL \
  | 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: cd7599f893e8ccaed6e9c2636a2e3c02c5a795921e2b409ee57504964c43bc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441e191e9cf91f59cc92f37ead39cccea576615c5724744e707fb5916199a1b7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-11-21T19:59:58Z",
    "title_canon_sha256": "822a98b2152ad4bf1f165e1e54491454e823111acd8c3d1a6b831ab595d33f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5533",
    "kind": "arxiv",
    "version": 1
  }
}