Pith Number

pith:QLVBZ2I2

pith:2013:QLVBZ2I2JBIBWKTQZHJUJ2JXIO

not attested not anchored not stored refs pending

On multiplicity bounds for Schrodinger eigenvalues on Riemannian surfaces

Gerasim Kokarev

arxiv:1310.2207 v2 · 2013-10-08 · 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{QLVBZ2I2JBIBWKTQZHJUJ2JXIO}

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	2026-05-18T01:22:24.837581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ea1ce91a48501b2a70c9d344e93743a485f7cc7a2e19a2b8d4123685c70cc6

Aliases

arxiv: 1310.2207 · arxiv_version: 1310.2207v2 · doi: 10.48550/arxiv.1310.2207 · pith_short_12: QLVBZ2I2JBIB · pith_short_16: QLVBZ2I2JBIBWKTQ · pith_short_8: QLVBZ2I2

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/QLVBZ2I2JBIBWKTQZHJUJ2JXIO \
  | 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: 82ea1ce91a48501b2a70c9d344e93743a485f7cc7a2e19a2b8d4123685c70cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a887689730554e9f39814392278fe9bb62918aa5ac98bffc3b68f3ae894d31",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-10-08T17:48:43Z",
    "title_canon_sha256": "f55cdc58d65667f123d31a3bf2b8c919184b87d6addfc9982a6db878ac4069db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2207",
    "kind": "arxiv",
    "version": 2
  }
}