Pith Number

pith:CW2FXRY4

pith:2009:CW2FXRY4LOKJOL6RWGYZ5GTDH7

not attested not anchored not stored refs pending

Eigenvalue decay of operators on harmonic function spaces

Cho-Ho Chu, Oscar F. Bandtlow

arxiv:0903.0865 v1 · 2009-03-05 · math.FA · 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{CW2FXRY4LOKJOL6RWGYZ5GTDH7}

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	2026-05-18T02:58:03.430878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b45bc71c5b94972fd1b1b19e9a633fddb94d682db4f8b0f7bd276706dd6edf

Aliases

arxiv: 0903.0865 · arxiv_version: 0903.0865v1 · doi: 10.48550/arxiv.0903.0865 · pith_short_12: CW2FXRY4LOKJ · pith_short_16: CW2FXRY4LOKJOL6R · pith_short_8: CW2FXRY4

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/CW2FXRY4LOKJOL6RWGYZ5GTDH7 \
  | 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: 15b45bc71c5b94972fd1b1b19e9a633fddb94d682db4f8b0f7bd276706dd6edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d2a08e3b0db56eceef879968934d309f1deeccb35f1545193301967e1e1f0b",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-03-05T13:42:48Z",
    "title_canon_sha256": "3d7593242300e2f4785a459fd64670b3d3d5ac1ce45b06de163ceef9297c65d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0865",
    "kind": "arxiv",
    "version": 1
  }
}