Pith Number

pith:MK7Z4RSU

pith:2016:MK7Z4RSUIWQCHGN3Y3LDURTKCG

not attested not anchored not stored refs pending

Lie bialgebra structures on 2-step nilpotent graph algebras

A. Patricia Jancsa, Marco A. Farinati

arxiv:1607.00300 v1 · 2016-07-01 · math.QA · 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{MK7Z4RSUIWQCHGN3Y3LDURTKCG}

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	2026-05-18T01:11:37.725401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62bf9e465445a02399bbc6d63a466a1182ae373eef3310897d3a1f8710d3c88b

Aliases

arxiv: 1607.00300 · arxiv_version: 1607.00300v1 · doi: 10.48550/arxiv.1607.00300 · pith_short_12: MK7Z4RSUIWQC · pith_short_16: MK7Z4RSUIWQCHGN3 · pith_short_8: MK7Z4RSU

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/MK7Z4RSUIWQCHGN3Y3LDURTKCG \
  | 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: 62bf9e465445a02399bbc6d63a466a1182ae373eef3310897d3a1f8710d3c88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22bc6434bd0dc44d97ff4375f2719d826de05bd78355236caa270cb413a768b2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-01T16:10:15Z",
    "title_canon_sha256": "194f962a29da4ce54a4a7be3b122b77501e77519a26447c24285841403700f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00300",
    "kind": "arxiv",
    "version": 1
  }
}