Pith Number

pith:QWWYJ4IW

pith:2016:QWWYJ4IW66K4J3X4CZDBVHG4OX

not attested not anchored not stored refs pending

Characterization of Some Properties on Weighted Modulation Spaces

Dashan Fan, Guoping Zhao, Jiecheng Chen, Weichao Guo

arxiv:1602.02871 v1 · 2016-02-09 · 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{QWWYJ4IW66K4J3X4CZDBVHG4OX}

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	2026-05-18T01:20:31.982241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ad84f116f795c4eefc16461a9cdc75c345b7fb284b1ccc8da710e4a4958298

Aliases

arxiv: 1602.02871 · arxiv_version: 1602.02871v1 · doi: 10.48550/arxiv.1602.02871 · pith_short_12: QWWYJ4IW66K4 · pith_short_16: QWWYJ4IW66K4J3X4 · pith_short_8: QWWYJ4IW

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/QWWYJ4IW66K4J3X4CZDBVHG4OX \
  | 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: 85ad84f116f795c4eefc16461a9cdc75c345b7fb284b1ccc8da710e4a4958298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f5165237cee4fb375eaa90c65a1aca1eff75ff49491c99526c043ea9d2ae4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-09T05:56:11Z",
    "title_canon_sha256": "bc316ffedae7fb5cd18545ad7b3cb1034638694cc62308eb491a6315b3cc66a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02871",
    "kind": "arxiv",
    "version": 1
  }
}