Pith Number

pith:VCTHRKON

pith:2018:VCTHRKON5IKLZWIIBRWKDOXCQM

not attested not anchored not stored refs pending

Groebner---Shirshov bases for associative conformal algebras with arbitrary locality function

Pavel Kolesnikov

arxiv:1807.08428 v1 · 2018-07-23 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCTHRKON5IKLZWIIBRWKDOXCQM}

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	2026-05-18T00:10:08.071712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a678a9cdea14bcd9080c6ca1bae28321dea16a2c702c827d2731d19fd19a9c

Aliases

arxiv: 1807.08428 · arxiv_version: 1807.08428v1 · doi: 10.48550/arxiv.1807.08428 · pith_short_12: VCTHRKON5IKL · pith_short_16: VCTHRKON5IKLZWII · pith_short_8: VCTHRKON

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/VCTHRKON5IKLZWIIBRWKDOXCQM \
  | 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: a8a678a9cdea14bcd9080c6ca1bae28321dea16a2c702c827d2731d19fd19a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619047f9153e9f959d57356d77aa6711f6102891f9088143b95a6687037a8104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-23T04:53:06Z",
    "title_canon_sha256": "5920837174cecc003638a7c7844c34d2d3593a205e51673591294f8375298e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08428",
    "kind": "arxiv",
    "version": 1
  }
}