Pith Number

pith:WULITAPW

pith:2013:WULITAPWLGV7LAOVPIR37YHBMJ

not attested not anchored not stored refs pending

Eigenvalue asymptotics for Schr\"odinger operators on sparse graphs

Matthias Keller, Michel Bonnefont (IMB), Sylvain Golenia

arxiv:1311.7221 v2 · 2013-11-28 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WULITAPWLGV7LAOVPIR37YHBMJ}

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	2026-05-18T03:00:00.375186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5168981f659abf581d57a23bfe0e162709993d5eee09595a8761515018e76ed

Aliases

arxiv: 1311.7221 · arxiv_version: 1311.7221v2 · doi: 10.48550/arxiv.1311.7221 · pith_short_12: WULITAPWLGV7 · pith_short_16: WULITAPWLGV7LAOV · pith_short_8: WULITAPW

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/WULITAPWLGV7LAOVPIR37YHBMJ \
  | 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: b5168981f659abf581d57a23bfe0e162709993d5eee09595a8761515018e76ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c6a61d98a96369e617faeeed01ac5464324871c1c9ed33e3367f2431b3e862",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-11-28T07:11:04Z",
    "title_canon_sha256": "d8c27c05ad00c2d7321c535f87d988999fb1d38b2d7d7aeb00e03e0b4f28e0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7221",
    "kind": "arxiv",
    "version": 2
  }
}