Pith Number

pith:WT4HGXIS

pith:2010:WT4HGXISCBR6UCJYPJYLIWAUKU

not attested not anchored not stored refs pending

The Markov-Zariski topology of an abelian group

Dikran Dikranjan, Dmitri Shakhmatov

arxiv:1005.1149 v1 · 2010-05-07 · math.GR · math.AG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT4HGXISCBR6UCJYPJYLIWAUKU}

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	2026-05-18T04:40:08.243142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f8735d121063ea09387a70b458145500cc3432c975b15e2f11f030a8bdb8f1

Aliases

arxiv: 1005.1149 · arxiv_version: 1005.1149v1 · doi: 10.48550/arxiv.1005.1149 · pith_short_12: WT4HGXISCBR6 · pith_short_16: WT4HGXISCBR6UCJY · pith_short_8: WT4HGXIS

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/WT4HGXISCBR6UCJYPJYLIWAUKU \
  | 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: b4f8735d121063ea09387a70b458145500cc3432c975b15e2f11f030a8bdb8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7228b1ab93ca09aa06f52675adabce2a110a69754bce905a6e16b98afdfaae",
    "cross_cats_sorted": [
      "math.AG",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-07T08:06:18Z",
    "title_canon_sha256": "3e52dfc825ee2c78887bff67568234f8dcb9912c71adbc5f5faeff1e812c2bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1149",
    "kind": "arxiv",
    "version": 1
  }
}