Pith Number

pith:GPAD2Q6A

pith:2012:GPAD2Q6AJE34Q3SVGSHDF5VEMH

not attested not anchored not stored refs pending

Twisted conjugacy classes in residually finite groups

Alexander Fel'shtyn, Evgenij Troitsky

arxiv:1204.3175 v2 · 2012-04-14 · math.GR · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPAD2Q6AJE34Q3SVGSHDF5VEMH}

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	2026-05-18T03:56:44.706221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c03d43c04937c86e55348e32f6a461feedee0c286aae2708a798148048a033

Aliases

arxiv: 1204.3175 · arxiv_version: 1204.3175v2 · doi: 10.48550/arxiv.1204.3175 · pith_short_12: GPAD2Q6AJE34 · pith_short_16: GPAD2Q6AJE34Q3SV · pith_short_8: GPAD2Q6A

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/GPAD2Q6AJE34Q3SVGSHDF5VEMH \
  | 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: 33c03d43c04937c86e55348e32f6a461feedee0c286aae2708a798148048a033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33aa1758d18ee084a1808d4bde662a42ed659920205cfc523725eac3a201e525",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-14T14:19:49Z",
    "title_canon_sha256": "7f0b7614a657fefcafa5a87f33606fd461ef411a9a43e28c916ad4b6a9f3090c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3175",
    "kind": "arxiv",
    "version": 2
  }
}