Pith Number

pith:ZETU27KW

pith:2010:ZETU27KWRJP2IACTGMGFJQQQ45

not attested not anchored not stored refs pending

Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type

Holger Rauhut, Tino Ullrich

arxiv:1010.0607 v2 · 2010-10-04 · 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{ZETU27KWRJP2IACTGMGFJQQQ45}

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	2026-05-18T04:33:06.842547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9274d7d568a5fa40053330c54c210e77b2398dec3d6b805285717a301cdc2b1

Aliases

arxiv: 1010.0607 · arxiv_version: 1010.0607v2 · doi: 10.48550/arxiv.1010.0607 · pith_short_12: ZETU27KWRJP2 · pith_short_16: ZETU27KWRJP2IACT · pith_short_8: ZETU27KW

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/ZETU27KWRJP2IACTGMGFJQQQ45 \
  | 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: c9274d7d568a5fa40053330c54c210e77b2398dec3d6b805285717a301cdc2b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68a181aa7b9c69c7fdd778eef95a0d2888b1cdb5e916596c8729d73d62d1771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-04T14:45:45Z",
    "title_canon_sha256": "e133a2bb3df016472b1a02c03ec58d1dfcbce143002ad1df71902344c1251335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0607",
    "kind": "arxiv",
    "version": 2
  }
}