Pith Number

pith:ZWMBWXFD

pith:2013:ZWMBWXFDEUPFKQ3K2RTJ5KEICL

not attested not anchored not stored refs pending

On the asymptotics of a Robin eigenvalue problem

Fioralba Cakoni, Houssem Haddar, Nicolas Chaulet

arxiv:1307.8381 v2 · 2013-07-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWMBWXFDEUPFKQ3K2RTJ5KEICL}

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	2026-05-18T03:16:39.878301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd981b5ca3251e55436ad4669ea88812f28fae1b3736913206ef1fd21dea87a5

Aliases

arxiv: 1307.8381 · arxiv_version: 1307.8381v2 · doi: 10.48550/arxiv.1307.8381 · pith_short_12: ZWMBWXFDEUPF · pith_short_16: ZWMBWXFDEUPFKQ3K · pith_short_8: ZWMBWXFD

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/ZWMBWXFDEUPFKQ3K2RTJ5KEICL \
  | 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: cd981b5ca3251e55436ad4669ea88812f28fae1b3736913206ef1fd21dea87a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a042cafc1585dbd800912f22a97461a13cc56f806dc00f2398970bbd1ad59cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-31T16:32:31Z",
    "title_canon_sha256": "4ab386f751ad28868b145ad40ee40c00a3129e15dd87b6fc8933b6417e1c973e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8381",
    "kind": "arxiv",
    "version": 2
  }
}