Pith Number

pith:WOY546J5

pith:2019:WOY546J5UZMKZYKPBKHTT4IJJY

not attested not anchored not stored refs pending

Sampling expansions associated with quaternion difference equations

Dong Cheng, Junfeng Xu, Kit Ian Kou, Yonghui Xia

arxiv:1903.05540 v2 · 2019-03-13 · 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{WOY546J5UZMKZYKPBKHTT4IJJY}

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	2026-07-05T04:58:25.223240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b1de793da658ace14f0a8f39f1094e1b96b984ce86f39ac22e396520ecacb2

Aliases

arxiv: 1903.05540 · arxiv_version: 1903.05540v2 · doi: 10.48550/arxiv.1903.05540 · pith_short_12: WOY546J5UZMK · pith_short_16: WOY546J5UZMKZYKP · pith_short_8: WOY546J5

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/WOY546J5UZMKZYKPBKHTT4IJJY \
  | 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: b3b1de793da658ace14f0a8f39f1094e1b96b984ce86f39ac22e396520ecacb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feae59df948605a113bcdf8c96f71c4ba4c3cc1a03926ba1434ffd7dd4d3c98c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-13T15:16:30Z",
    "title_canon_sha256": "e9f3527cb7f2b454c40a40938b8d05c4305457d5fc0095767509cff2e149830f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05540",
    "kind": "arxiv",
    "version": 2
  }
}