Pith Number

pith:ELVHIY42

pith:2022:ELVHIY42VK64J2PRZ5A7C6Q4OR

not attested not anchored not stored refs pending

Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts

Andreas Seeger, Gustavo Garrig\'os, Tino Ullrich

arxiv:2209.02630 v2 · 2022-09-06 · math.FA · cs.NA · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELVHIY42VK64J2PRZ5A7C6Q4OR}

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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	2026-07-05T06:24:25.379965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ea74639aaabdc4e9f1cf41f17a1c746129a60e406eb0d5ff7dff2b7ab4b1a8

Aliases

arxiv: 2209.02630 · arxiv_version: 2209.02630v2 · doi: 10.48550/arxiv.2209.02630 · pith_short_12: ELVHIY42VK64 · pith_short_16: ELVHIY42VK64J2PR · pith_short_8: ELVHIY42

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/ELVHIY42VK64J2PRZ5A7C6Q4OR \
  | 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: 22ea74639aaabdc4e9f1cf41f17a1c746129a60e406eb0d5ff7dff2b7ab4b1a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc504dd9e9b2af97308d92538b970f2ba33578ac81a6ad2c0604394e8e5b3d2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-09-06T16:34:40Z",
    "title_canon_sha256": "4b9ee4861a1b3c298c9bb5f6631b4c26ac5edc93c3daa4cc8097048301dc0497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.02630",
    "kind": "arxiv",
    "version": 2
  }
}