Pith Number

pith:ZSZNGRTX

pith:2008:ZSZNGRTXCQUTDO4VZV26AEQV5G

not attested not anchored not stored refs pending

Mapping properties of fundamental operators in harmonic analysis related to Bessel operators

Adam Nowak, Beatriz Viviani, Eleonor Harboure, Jorge J. Betancor

arxiv:0802.3497 v1 · 2008-02-24 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSZNGRTXCQUTDO4VZV26AEQV5G}

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	2026-05-18T04:41:14.327834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb2d34677142931bb95cd75e01215e9b0b39f24678127f157730bbac8ade59b

Aliases

arxiv: 0802.3497 · arxiv_version: 0802.3497v1 · doi: 10.48550/arxiv.0802.3497 · pith_short_12: ZSZNGRTXCQUT · pith_short_16: ZSZNGRTXCQUTDO4V · pith_short_8: ZSZNGRTX

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/ZSZNGRTXCQUTDO4VZV26AEQV5G \
  | 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: ccb2d34677142931bb95cd75e01215e9b0b39f24678127f157730bbac8ade59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf87b5d823b83fb2e14af6b958385615b836f131d6e526ee006d71999ad885e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-02-24T08:54:39Z",
    "title_canon_sha256": "23c7dbacd70f44dc7119721bdd940d29731d5815bf6ce0b5a0fbbd0413118d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3497",
    "kind": "arxiv",
    "version": 1
  }
}