Pith Number

pith:HK44MV7K

pith:2014:HK44MV7K55JMQW7FKGS3EQSEVJ

not attested not anchored not stored refs pending

A Morse index theorem for elliptic operators on bounded domains

Christopher K.R.T. Jones, Graham Cox, Jeremy L. Marzuola

arxiv:1404.5981 v2 · 2014-04-23 · math.AP · 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{HK44MV7K55JMQW7FKGS3EQSEVJ}

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	2026-05-18T02:27:05.518768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab9c657eaef52c85be551a5b24244aa70a43d605ebe2fce422bee983b784a48

Aliases

arxiv: 1404.5981 · arxiv_version: 1404.5981v2 · doi: 10.48550/arxiv.1404.5981 · pith_short_12: HK44MV7K55JM · pith_short_16: HK44MV7K55JMQW7F · pith_short_8: HK44MV7K

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/HK44MV7K55JMQW7FKGS3EQSEVJ \
  | 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: 3ab9c657eaef52c85be551a5b24244aa70a43d605ebe2fce422bee983b784a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0182a609b84aa5caa9059adbf1917cf1ae484a3ed1209b89573551a41d205c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-23T20:55:25Z",
    "title_canon_sha256": "c79a02ec169acf5e6b71a59caf2515ff8def99e5cc6f48b752a83f23e3c1ed37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5981",
    "kind": "arxiv",
    "version": 2
  }
}