Pith Number

pith:F5A4UWWM

pith:2013:F5A4UWWMMBEZP7UA2RR4TZVKH2

not attested not anchored not stored refs pending

Eigenvalue decay of positive integral operators on compact two-point homogeneous spaces

Mario H. Castro

arxiv:1307.3916 v4 · 2013-07-15 · 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{F5A4UWWMMBEZP7UA2RR4TZVKH2}

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	2026-05-17T23:44:33.394635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f41ca5acc604997fe80d463c9e6aa3ebff8aa3d649eb79e75545e9d434f0a89

Aliases

arxiv: 1307.3916 · arxiv_version: 1307.3916v4 · doi: 10.48550/arxiv.1307.3916 · pith_short_12: F5A4UWWMMBEZ · pith_short_16: F5A4UWWMMBEZP7UA · pith_short_8: F5A4UWWM

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/F5A4UWWMMBEZP7UA2RR4TZVKH2 \
  | 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: 2f41ca5acc604997fe80d463c9e6aa3ebff8aa3d649eb79e75545e9d434f0a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6324f4fc532d7d7d55539f5743809d49d5ce094e07b91873475d92f3c8e8e869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-15T12:55:34Z",
    "title_canon_sha256": "ee3529b7885c47b971005d12ec904ee64354004b9f76da598223732adbb0e87f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3916",
    "kind": "arxiv",
    "version": 4
  }
}