Pith Number

pith:XC6ZIO45

pith:2017:XC6ZIO45I3E64SIQXKDYLVGARR

not attested not anchored not stored refs pending

Groebner-Shirshov bases for brace algebras

Qiuhui Mo, Xiangui Zhao, Yu Li

arxiv:1709.01401 v2 · 2017-09-03 · 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{XC6ZIO45I3E64SIQXKDYLVGARR}

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	2026-05-18T00:33:48.293673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8bd943b9d46c9ee4910ba8785d4c08c5652a96b9860441111612f096758a78d

Aliases

arxiv: 1709.01401 · arxiv_version: 1709.01401v2 · doi: 10.48550/arxiv.1709.01401 · pith_short_12: XC6ZIO45I3E6 · pith_short_16: XC6ZIO45I3E64SIQ · pith_short_8: XC6ZIO45

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/XC6ZIO45I3E64SIQXKDYLVGARR \
  | 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: b8bd943b9d46c9ee4910ba8785d4c08c5652a96b9860441111612f096758a78d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829ff05c7abdf4bcd68a5c8cedf244ac63aff7903d18f6e42eff70fb3a2a37ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-03T04:33:58Z",
    "title_canon_sha256": "34d31a91672ffbfe04bc1fe22add19a29bc5db7f7251dec3d1c89a11c491daae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01401",
    "kind": "arxiv",
    "version": 2
  }
}