Pith Number

pith:7GLWJI2O

pith:2011:7GLWJI2OP3W5HLMHBB5IQCB2HA

not attested not anchored not stored refs pending

A new method of finding all Roots of simple quaternionic polynomials

Kaiming Zhao, Lianggui Feng

arxiv:1109.2503 v2 · 2011-09-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GLWJI2OP3W5HLMHBB5IQCB2HA}

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	2026-05-18T04:13:15.483931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f99764a34e7eedd3ad87087a88083a382f67b32db663cfe87ef0e133979bede3

Aliases

arxiv: 1109.2503 · arxiv_version: 1109.2503v2 · doi: 10.48550/arxiv.1109.2503 · pith_short_12: 7GLWJI2OP3W5 · pith_short_16: 7GLWJI2OP3W5HLMH · pith_short_8: 7GLWJI2O

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/7GLWJI2OP3W5HLMHBB5IQCB2HA \
  | 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: f99764a34e7eedd3ad87087a88083a382f67b32db663cfe87ef0e133979bede3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f95d425e6e27dbd7a11cbb5485a236f54fdf663f377e45ddbdd6700e6bf9ab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-12T15:25:09Z",
    "title_canon_sha256": "d1a7af0927094edd16dde3568111944978e9e31bc9fd29da284c5a5751629951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2503",
    "kind": "arxiv",
    "version": 2
  }
}