Pith Number

pith:CON4TGVE

pith:2011:CON4TGVEY45ZGB3N63SD3VQYF5

not attested not anchored not stored refs pending

Coorbit description and atomic decomposition of Besov spaces

Azita Mayeli, Gestur Olafsson, Jens Gerlach Christensen

arxiv:1110.6676 v2 · 2011-10-31 · 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{CON4TGVEY45ZGB3N63SD3VQYF5}

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	2026-05-18T04:00:15.535172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139bc99aa4c73b93076df6e43dd6182f76aec9b0e3a6360a0a3dae18f48fdb50

Aliases

arxiv: 1110.6676 · arxiv_version: 1110.6676v2 · doi: 10.48550/arxiv.1110.6676 · pith_short_12: CON4TGVEY45Z · pith_short_16: CON4TGVEY45ZGB3N · pith_short_8: CON4TGVE

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/CON4TGVEY45ZGB3N63SD3VQYF5 \
  | 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: 139bc99aa4c73b93076df6e43dd6182f76aec9b0e3a6360a0a3dae18f48fdb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9a2df38b56c9e7743269546688fbed147aeea2842e0d30d06a859640cb2959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-31T01:35:49Z",
    "title_canon_sha256": "86be28f857a5fac31e33192c21028c13637f2bdac800b10125859c70b49fb499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6676",
    "kind": "arxiv",
    "version": 2
  }
}