Pith Number

pith:UWKPXNI3

pith:2009:UWKPXNI34WYILINFQWFTOBSVPN

not attested not anchored not stored refs pending

Compactifications and algebraic completions of Limit groups

Jonathan Barlev, Tsachik Gelander

arxiv:0904.3771 v3 · 2009-04-24 · 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{UWKPXNI34WYILINFQWFTOBSVPN}

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	2026-05-18T03:57:53.823367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a594fbb51be5b085a1a5858b3706557b6827b7ee1bdf909d250a4fb8fc26b91b

Aliases

arxiv: 0904.3771 · arxiv_version: 0904.3771v3 · doi: 10.48550/arxiv.0904.3771 · pith_short_12: UWKPXNI34WYI · pith_short_16: UWKPXNI34WYILINF · pith_short_8: UWKPXNI3

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/UWKPXNI34WYILINFQWFTOBSVPN \
  | 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: a594fbb51be5b085a1a5858b3706557b6827b7ee1bdf909d250a4fb8fc26b91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2bd20beccdad60d5c17c4f31fa935067462c4339b7d4e2bad2dc2b17e7e0371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-04-24T13:36:24Z",
    "title_canon_sha256": "87c335722e6a5bbc76a67bc65dc3949b29d6b6036e023e89667e4a58ddec6159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3771",
    "kind": "arxiv",
    "version": 3
  }
}