Pith Number

pith:TP3XBZXZ

pith:2016:TP3XBZXZG6Q6FY2HB46SCWFRLS

not attested not anchored not stored refs pending

Besov spaces via hyperbolic fillings

Tom\'as Soto

arxiv:1606.08082 v1 · 2016-06-26 · math.CA · 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{TP3XBZXZG6Q6FY2HB46SCWFRLS}

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	2026-05-18T01:11:52.801394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf770e6f937a1e2e3470f3d2158b15c8d49f0a1a72b7de7ea1e572074325eda

Aliases

arxiv: 1606.08082 · arxiv_version: 1606.08082v1 · doi: 10.48550/arxiv.1606.08082 · pith_short_12: TP3XBZXZG6Q6 · pith_short_16: TP3XBZXZG6Q6FY2H · pith_short_8: TP3XBZXZ

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/TP3XBZXZG6Q6FY2HB46SCWFRLS \
  | 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: 9bf770e6f937a1e2e3470f3d2158b15c8d49f0a1a72b7de7ea1e572074325eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f7b891bf3debe8bfb1963fa2bad921320c7dbe6daae7a5fcb57d022b7987e3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-26T20:25:35Z",
    "title_canon_sha256": "7f632429c2edfeeb54ff85f9f332a00331945322d0d36647ae8cab42f3a56c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08082",
    "kind": "arxiv",
    "version": 1
  }
}