Pith Number

pith:IWZVVUIT

pith:2008:IWZVVUITTQQCSS5RCRAIQRMQ2S

not attested not anchored not stored refs pending

Abstract commensurators of profinite groups

Mikhail Ershov, Thomas Weigel, Yiftach Barnea

arxiv:0810.2060 v2 · 2008-10-11 · 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{IWZVVUITTQQCSS5RCRAIQRMQ2S}

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	2026-05-18T04:17:13.838982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b35ad1139c20294bb11440884590d48eb3d00b191d64788fe3e5fb28832c6d

Aliases

arxiv: 0810.2060 · arxiv_version: 0810.2060v2 · doi: 10.48550/arxiv.0810.2060 · pith_short_12: IWZVVUITTQQC · pith_short_16: IWZVVUITTQQCSS5R · pith_short_8: IWZVVUIT

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/IWZVVUITTQQCSS5RCRAIQRMQ2S \
  | 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: 45b35ad1139c20294bb11440884590d48eb3d00b191d64788fe3e5fb28832c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e1a12a1c71c1427e18a2eea4f75dc63557780e3e4dc35eaf13d2f6907fe3c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-10-11T23:35:50Z",
    "title_canon_sha256": "839414a1a0f3a6e753107dc8899cf117c85724607ac484454354b4af841d6a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2060",
    "kind": "arxiv",
    "version": 2
  }
}