Pith Number

pith:ABFXVATT

pith:2020:ABFXVATTQJUK3MH5Y5U6WW5ZAW

not attested not anchored not stored refs pending

Solutions of quaternion-valued differential equations with or without commutativity

K.I. Kou, W. Zhang, Z. Cai

arxiv:2012.06744 v1 · 2020-12-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABFXVATTQJUK3MH5Y5U6WW5ZAW}

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	2026-07-05T01:58:59.041761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004b7a82738268adb0fdc769eb5bb90590f019bf880cbbf29f755030b7960040

Aliases

arxiv: 2012.06744 · arxiv_version: 2012.06744v1 · doi: 10.48550/arxiv.2012.06744 · pith_short_12: ABFXVATTQJUK · pith_short_16: ABFXVATTQJUK3MH5 · pith_short_8: ABFXVATT

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/ABFXVATTQJUK3MH5Y5U6WW5ZAW \
  | 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: 004b7a82738268adb0fdc769eb5bb90590f019bf880cbbf29f755030b7960040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c0db0ebe7541e6c64e70e53dbabbcb4d7f19a75e4b051ae19d1c4ac780fca3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-12-12T06:53:16Z",
    "title_canon_sha256": "efa3062a53727a35357d7903ead9ccef8593d0c33c5b46d81cf6fe279b2ff4dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06744",
    "kind": "arxiv",
    "version": 1
  }
}