Pith Number

pith:TYPNG6PW

pith:2015:TYPNG6PWSCVP4FXTK32MREVKTG

not attested not anchored not stored refs pending

Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

Kit Ian Kou, Yong-hui Xia

arxiv:1510.02224 v5 · 2015-10-08 · 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{TYPNG6PWSCVP4FXTK32MREVKTG}

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	2026-05-18T00:35:51.941430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1ed379f690aafe16f356f4c892aa99adb4611205e702e7d05012affad88688

Aliases

arxiv: 1510.02224 · arxiv_version: 1510.02224v5 · doi: 10.48550/arxiv.1510.02224 · pith_short_12: TYPNG6PWSCVP · pith_short_16: TYPNG6PWSCVP4FXT · pith_short_8: TYPNG6PW

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/TYPNG6PWSCVP4FXTK32MREVKTG \
  | 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: 9e1ed379f690aafe16f356f4c892aa99adb4611205e702e7d05012affad88688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f837d604c27401776522211949f0bd8205abe73433ed7b6eae49301b4be324b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-08T08:15:35Z",
    "title_canon_sha256": "19fa6c786c59668f6d1416c19a7e5ad06306db0a0f129a269c4c749854c7c68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02224",
    "kind": "arxiv",
    "version": 5
  }
}