Pith Number

pith:WLA6G2ZS

pith:2013:WLA6G2ZS5A4LEXJFINEKMKQFKJ

not attested not anchored not stored refs pending

Operators in Rigged Hilbert spaces: some spectral properties

C. Trapani, G. Bellomonte, S. Di Bella

arxiv:1309.4038 v1 · 2013-09-16 · 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{WLA6G2ZS5A4LEXJFINEKMKQFKJ}

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	2026-05-18T03:13:11.412916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c1e36b32e838b25d254348a62a055253e04fd8b8cc94de23cd504bc2aed874

Aliases

arxiv: 1309.4038 · arxiv_version: 1309.4038v1 · doi: 10.48550/arxiv.1309.4038 · pith_short_12: WLA6G2ZS5A4L · pith_short_16: WLA6G2ZS5A4LEXJF · pith_short_8: WLA6G2ZS

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/WLA6G2ZS5A4LEXJFINEKMKQFKJ \
  | 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: b2c1e36b32e838b25d254348a62a055253e04fd8b8cc94de23cd504bc2aed874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cccdc3f482b3995ac227f36b0f2f7c662f50f95f72e5b913d3b8a64c1f5cb46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-16T17:05:19Z",
    "title_canon_sha256": "fec4c0cd764fbb0803f95683f9a17f44f5cce9a8746cdcfb43bc2668c0b7dd91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4038",
    "kind": "arxiv",
    "version": 1
  }
}