Pith Number

pith:DJYTTY5X

pith:2015:DJYTTY5XSE2LQR7HEY6JHWHE5S

not attested not anchored not stored refs pending

Virtually compact special hyperbolic groups are conjugacy separable

Ashot Minasyan, Pavel Zalesskii

arxiv:1504.00613 v3 · 2015-04-02 · 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{DJYTTY5XSE2LQR7HEY6JHWHE5S}

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	2026-05-18T00:48:20.755495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7139e3b79134b847e7263c93d8e4ecb24369b896df1129e578d71e98650d3d

Aliases

arxiv: 1504.00613 · arxiv_version: 1504.00613v3 · doi: 10.48550/arxiv.1504.00613 · pith_short_12: DJYTTY5XSE2L · pith_short_16: DJYTTY5XSE2LQR7H · pith_short_8: DJYTTY5X

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/DJYTTY5XSE2LQR7HEY6JHWHE5S \
  | 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: 1a7139e3b79134b847e7263c93d8e4ecb24369b896df1129e578d71e98650d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1672194f1d23473758c88e7067bff80d8afe0f553016c4cfdb44b400b432c5f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-02T16:44:25Z",
    "title_canon_sha256": "f533a676db6699b26b5e6c2b63fe4db866b7d58ed242755f5ee043be92aac138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00613",
    "kind": "arxiv",
    "version": 3
  }
}