Pith Number

pith:56ZJNXUZ

pith:2016:56ZJNXUZOHUX2C7QIFNCQBNV6H

not attested not anchored not stored refs pending

Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces

Eero Saksman, Tom\'as Soto

arxiv:1606.08729 v1 · 2016-06-28 · 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{56ZJNXUZOHUX2C7QIFNCQBNV6H}

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	2026-05-18T01:11:47.187698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb296de9971e97d0bf0415a2805b5f1d36e92c8fc31ff28628071e70ecdb139

Aliases

arxiv: 1606.08729 · arxiv_version: 1606.08729v1 · doi: 10.48550/arxiv.1606.08729 · pith_short_12: 56ZJNXUZOHUX · pith_short_16: 56ZJNXUZOHUX2C7Q · pith_short_8: 56ZJNXUZ

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/56ZJNXUZOHUX2C7QIFNCQBNV6H \
  | 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: efb296de9971e97d0bf0415a2805b5f1d36e92c8fc31ff28628071e70ecdb139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8c8c354e5ec4f18565ad8d1117b38ca144a7cfb61cc87045ec9a7ed9b27181",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-28T14:31:02Z",
    "title_canon_sha256": "a7e15f5c06a509e91142a348f7f87b870114f2d6794ef9ce37b6d777e7f52871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08729",
    "kind": "arxiv",
    "version": 1
  }
}