Pith Number

pith:FARHEKXA

pith:2019:FARHEKXA5A7JXG4WD7QG7CFLTN

not attested not anchored not stored refs pending

Word and Conjugacy Problems in Groups $G_{k+1}^{k}$

Andrey Karpov, Denis Fedoseev, Vassily Manturov

arxiv:1906.04916 v2 · 2019-06-11 · math.GT · 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{FARHEKXA5A7JXG4WD7QG7CFLTN}

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	2026-05-17T23:42:02.074771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2822722ae0e83e9b9b961fe06f88ab9b4c7cf0d483d596c25bd00a45c378f650

Aliases

arxiv: 1906.04916 · arxiv_version: 1906.04916v2 · doi: 10.48550/arxiv.1906.04916 · pith_short_12: FARHEKXA5A7J · pith_short_16: FARHEKXA5A7JXG4W · pith_short_8: FARHEKXA

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/FARHEKXA5A7JXG4WD7QG7CFLTN \
  | 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: 2822722ae0e83e9b9b961fe06f88ab9b4c7cf0d483d596c25bd00a45c378f650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445807af841f88962fa3b5f977f3ba3080dbb3b92337417eaf8e08e1bff18f7d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-11T09:56:29Z",
    "title_canon_sha256": "f044ae02102fda1ea08026c9e72b17dcf82330a175c1a6993f5b6a83085e4032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04916",
    "kind": "arxiv",
    "version": 2
  }
}