Pith Number

pith:DE55BURL

pith:2015:DE55BURLM23VLJMPMQBBZAMTNU

not attested not anchored not stored refs pending

A complete solution of Markov's problem on connected group topologies

Dikran Dikranjan, Dmitri Shakhmatov

arxiv:1509.06660 v1 · 2015-09-22 · math.GN · 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{DE55BURLM23VLJMPMQBBZAMTNU}

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	2026-05-18T01:30:57.366499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193bd0d22b66b755a58f64021c81936d28ee84ba96ad26789698eb1d0c509b4f

Aliases

arxiv: 1509.06660 · arxiv_version: 1509.06660v1 · doi: 10.48550/arxiv.1509.06660 · pith_short_12: DE55BURLM23V · pith_short_16: DE55BURLM23VLJMP · pith_short_8: DE55BURL

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/DE55BURLM23VLJMPMQBBZAMTNU \
  | 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: 193bd0d22b66b755a58f64021c81936d28ee84ba96ad26789698eb1d0c509b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd45ca0c34177029d9a59abadeb8003664bb49ce302ad7a8b196c77508d8a47c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-09-22T16:03:37Z",
    "title_canon_sha256": "a8f17631c1c59aef29037d442ae7d2d5b924a46ae760092b7cdeeb49bd8de7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06660",
    "kind": "arxiv",
    "version": 1
  }
}