Pith Number

pith:EFSWKLFT

pith:2016:EFSWKLFTJHVX4MMVJGERGDP3BK

not attested not anchored not stored refs pending

The reconstruction theorem in Besov spaces

Cyril Labb\'e, Martin Hairer

arxiv:1609.04543 v2 · 2016-09-15 · math.FA · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFSWKLFTJHVX4MMVJGERGDP3BK}

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	2026-05-18T00:36:09.581267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2165652cb349eb7e31954989130dfb0aa5417ce4301b6df3a23b79a81813e390

Aliases

arxiv: 1609.04543 · arxiv_version: 1609.04543v2 · doi: 10.48550/arxiv.1609.04543 · pith_short_12: EFSWKLFTJHVX · pith_short_16: EFSWKLFTJHVX4MMV · pith_short_8: EFSWKLFT

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/EFSWKLFTJHVX4MMVJGERGDP3BK \
  | 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: 2165652cb349eb7e31954989130dfb0aa5417ce4301b6df3a23b79a81813e390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209a70ca4872b87b7e123bed281fa71a6c5e03dc9d2f6705f493c578dfa443a0",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-15T09:26:51Z",
    "title_canon_sha256": "195b8a87dba6555df50b5036ded9c3ddbb985e9372d717bc967f3732e1163130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04543",
    "kind": "arxiv",
    "version": 2
  }
}