Pith Number

pith:TCRY664K

pith:2011:TCRY664KRKGEBRUMUQAURPN22N

not attested not anchored not stored refs pending

On the Titchmarsh convolution theorem for distributions on the circle

Alexander Komech, Andrew Comech

arxiv:1108.2463 v5 · 2011-08-11 · 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{TCRY664KRKGEBRUMUQAURPN22N}

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	2026-05-18T03:21:32.025389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a38f7b8a8a8c40c68ca40148bdbad362602cf097990282fba349e6c8ad2882

Aliases

arxiv: 1108.2463 · arxiv_version: 1108.2463v5 · doi: 10.48550/arxiv.1108.2463 · pith_short_12: TCRY664KRKGE · pith_short_16: TCRY664KRKGEBRUM · pith_short_8: TCRY664K

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/TCRY664KRKGEBRUMUQAURPN22N \
  | 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: 98a38f7b8a8a8c40c68ca40148bdbad362602cf097990282fba349e6c8ad2882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d251b991740917060b65181d18a7dec1cde336baac69c93d7ab5597d0a6551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-11T17:01:23Z",
    "title_canon_sha256": "440c199bf92ee90759e5acda34c2bac227776a1a2c99221b9dd9d788bac5ba53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2463",
    "kind": "arxiv",
    "version": 5
  }
}