Pith Number

pith:RZWXXM2M

pith:2011:RZWXXM2M6BF6L5RCLUGCLVTS6W

not attested not anchored not stored refs pending

Spectral Properties of Some Degenerate Elliptic Differential Operators

Roger T. Lewis

arxiv:1103.1098 v1 · 2011-03-06 · 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{RZWXXM2M6BF6L5RCLUGCLVTS6W}

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	2026-05-18T04:27:17.139227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e6d7bb34cf04be5f6225d0c25d672f59c913b7c443a7b5d8b6682b51f0bfc68

Aliases

arxiv: 1103.1098 · arxiv_version: 1103.1098v1 · doi: 10.48550/arxiv.1103.1098 · pith_short_12: RZWXXM2M6BF6 · pith_short_16: RZWXXM2M6BF6L5RC · pith_short_8: RZWXXM2M

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/RZWXXM2M6BF6L5RCLUGCLVTS6W \
  | 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: 8e6d7bb34cf04be5f6225d0c25d672f59c913b7c443a7b5d8b6682b51f0bfc68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24823852c3e970a89322796d71c8f9e83aa086e87ee7640ba5d58fa59b136e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-06T03:37:17Z",
    "title_canon_sha256": "488dead73c6d88b1c04b057f3263f1be02ad0270ed362662201765c068e9fca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1098",
    "kind": "arxiv",
    "version": 1
  }
}