Pith Number

pith:HHMKLJG7

pith:2015:HHMKLJG7CCJDO5FGHKRORZLKXN

not attested not anchored not stored refs pending

Approximation by H\"older functions in Besov and Triebel-Lizorkin spaces

Heli Tuominen, Toni Heikkinen

arxiv:1504.02585 v1 · 2015-04-10 · 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{HHMKLJG7CCJDO5FGHKRORZLKXN}

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	2026-05-18T02:19:07.293001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d8a5a4df10923774a63aa2e8e56abb4a0897e2d5a3d6befd2c289ef8e22b77

Aliases

arxiv: 1504.02585 · arxiv_version: 1504.02585v1 · doi: 10.48550/arxiv.1504.02585 · pith_short_12: HHMKLJG7CCJD · pith_short_16: HHMKLJG7CCJDO5FG · pith_short_8: HHMKLJG7

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/HHMKLJG7CCJDO5FGHKRORZLKXN \
  | 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: 39d8a5a4df10923774a63aa2e8e56abb4a0897e2d5a3d6befd2c289ef8e22b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2d7a0319592a86de02cfba1efdb165e12b3900c41ee5cc0838fa7dac462483",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-10T08:35:03Z",
    "title_canon_sha256": "e746c8ad487178f3c228c832269a3e3883c55ce158fc1e9db2deae79778fba5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02585",
    "kind": "arxiv",
    "version": 1
  }
}