Pith Number

pith:ACIKHXDW

pith:2013:ACIKHXDWIQ2VLEDRTD7E5A5VNV

not attested not anchored not stored refs pending

Atomic decompositions of Besov spaces related to symmetric cones

Jens Gerlach Christensen

arxiv:1303.2759 v1 · 2013-03-12 · 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{ACIKHXDWIQ2VLEDRTD7E5A5VNV}

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	2026-05-18T03:31:08.177479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0090a3dc76443555907198fe4e83b56d6f2df085b9788ef790016b9d309d1896

Aliases

arxiv: 1303.2759 · arxiv_version: 1303.2759v1 · doi: 10.48550/arxiv.1303.2759 · pith_short_12: ACIKHXDWIQ2V · pith_short_16: ACIKHXDWIQ2VLEDR · pith_short_8: ACIKHXDW

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/ACIKHXDWIQ2VLEDRTD7E5A5VNV \
  | 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: 0090a3dc76443555907198fe4e83b56d6f2df085b9788ef790016b9d309d1896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0807776bbc470f30b49f86dc98344ac9a25eefa616dc83b15b5ed96ce96a8fbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-12T02:52:35Z",
    "title_canon_sha256": "04e9502fd8147e2019f48b637256b7eea726c3bdc4f9c331f0b2a023133901f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2759",
    "kind": "arxiv",
    "version": 1
  }
}