Pith Number

pith:E5E6NRNZ

pith:2019:E5E6NRNZXMCY33Y57TS5LLFWWD

not attested not anchored not stored refs pending

Unimodular multipliers on $\alpha$-modulation spaces: A revisit with new method under weaker conditions

Guoping Zhao, Weichao Guo

arxiv:1903.06929 v1 · 2019-03-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5E6NRNZXMCY33Y57TS5LLFWWD}

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	2026-05-17T23:51:06.705499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2749e6c5b9bb058def1dfce5d5acb6b0d6cd008b610d92f38c0c3eb4ce5f553e

Aliases

arxiv: 1903.06929 · arxiv_version: 1903.06929v1 · doi: 10.48550/arxiv.1903.06929 · pith_short_12: E5E6NRNZXMCY · pith_short_16: E5E6NRNZXMCY33Y5 · pith_short_8: E5E6NRNZ

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/E5E6NRNZXMCY33Y57TS5LLFWWD \
  | 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: 2749e6c5b9bb058def1dfce5d5acb6b0d6cd008b610d92f38c0c3eb4ce5f553e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0aad054b6aca2dc5d989dbd0349123eb96b3ff2be4f54a7aef01e0568a5596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-16T14:25:42Z",
    "title_canon_sha256": "4b3da6db6b77e648db826726988027e334e171c32f6d4a6b64df9e6fe0891637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06929",
    "kind": "arxiv",
    "version": 1
  }
}