Pith Number

pith:VC3LPIP3

pith:2018:VC3LPIP3CZOQKBXNK7CI73S5ZP

not attested not anchored not stored refs pending

Word maps, word maps with constants and representation varieties of one-relator groups

Boris Kunyavskii, Eugene Plotkin, Nikolai Gordeev

arxiv:1801.00379 v1 · 2018-01-01 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VC3LPIP3CZOQKBXNK7CI73S5ZP}

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	2026-05-18T00:26:58.492784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b6b7a1fb165d0506ed57c48fee5dcbeed5fff1553ba0a037d0daa8ad9a4ab1

Aliases

arxiv: 1801.00379 · arxiv_version: 1801.00379v1 · doi: 10.48550/arxiv.1801.00379 · pith_short_12: VC3LPIP3CZOQ · pith_short_16: VC3LPIP3CZOQKBXN · pith_short_8: VC3LPIP3

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/VC3LPIP3CZOQKBXNK7CI73S5ZP \
  | 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: a8b6b7a1fb165d0506ed57c48fee5dcbeed5fff1553ba0a037d0daa8ad9a4ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9003d7097f25703cc697cf241f352dc210c1a180216f864399db64d8680d8660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-01T01:29:07Z",
    "title_canon_sha256": "a068ec01f3140b89e909e7867726d072ca5d5aea32df46329f96d6a65180370d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00379",
    "kind": "arxiv",
    "version": 1
  }
}