Pith Number

pith:KT4UVBQO

pith:2019:KT4UVBQOLRUYVGUXDH2ROCGETG

not attested not anchored not stored refs pending

One-relator quotients of Partially Commutative Groups

Andrew J. Duncan, Arye Juh\'asz

arxiv:1907.07797 v1 · 2019-07-17 · 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{KT4UVBQOLRUYVGUXDH2ROCGETG}

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	2026-05-17T23:40:16.289513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f94a860e5c698a9a9719f51708c499a8ac295bda3e5ccaeabf86e36fddc451

Aliases

arxiv: 1907.07797 · arxiv_version: 1907.07797v1 · doi: 10.48550/arxiv.1907.07797 · pith_short_12: KT4UVBQOLRUY · pith_short_16: KT4UVBQOLRUYVGUX · pith_short_8: KT4UVBQO

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/KT4UVBQOLRUYVGUXDH2ROCGETG \
  | 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: 54f94a860e5c698a9a9719f51708c499a8ac295bda3e5ccaeabf86e36fddc451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2353b0a3f706f2d87a0927f92569804ac7ab35361e28777066d50f88150a864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-17T22:19:22Z",
    "title_canon_sha256": "a0709dfef032cc9555ac25609cc451a01bf9d2af4ef18513798f811980063fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07797",
    "kind": "arxiv",
    "version": 1
  }
}