Pith Number

pith:6IE7U4EG

pith:2018:6IE7U4EGEE6RC64WHHVD2CDXS6

not attested not anchored not stored refs pending

Harmonic functions, conjugate harmonic functions and the Hardy space $H^1$ in the rational Dunkl setting

Agnieszka Hejna, Jacek Dziuba\'nski, Jean-Philippe Anker

arxiv:1802.06607 v1 · 2018-02-19 · 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{6IE7U4EGEE6RC64WHHVD2CDXS6}

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	2026-05-18T00:23:02.811593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f209fa7086213d117b9639ea3d08779787d44dd8cc96ed81ba608428f4d94db5

Aliases

arxiv: 1802.06607 · arxiv_version: 1802.06607v1 · doi: 10.48550/arxiv.1802.06607 · pith_short_12: 6IE7U4EGEE6R · pith_short_16: 6IE7U4EGEE6RC64W · pith_short_8: 6IE7U4EG

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/6IE7U4EGEE6RC64WHHVD2CDXS6 \
  | 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: f209fa7086213d117b9639ea3d08779787d44dd8cc96ed81ba608428f4d94db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d7fe8850bc86c158f173d6e96bcff9e0702e0e175713a4667e58ffc231fe94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-19T12:25:05Z",
    "title_canon_sha256": "8e19a7beda50c8786e5f1135a1b9be2d1e3a20f4720d1b091e8ab7ce5c82d76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06607",
    "kind": "arxiv",
    "version": 1
  }
}