Pith Number

pith:YEOQ2JTH

pith:2016:YEOQ2JTHQVFDGCONOM5P2X332O

not attested not anchored not stored refs pending

The abelianization of inverse limits of groups

Ilan Barnea, Saharon Shelah

arxiv:1608.02220 v5 · 2016-08-07 · math.GR · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEOQ2JTHQVFDGCONOM5P2X332O}

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	2026-05-18T00:32:36.450563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11d0d2667854a3309cd733afd5f7bd383fb6a84ca7676da126f27fd03f893e6

Aliases

arxiv: 1608.02220 · arxiv_version: 1608.02220v5 · doi: 10.48550/arxiv.1608.02220 · pith_short_12: YEOQ2JTHQVFD · pith_short_16: YEOQ2JTHQVFDGCON · pith_short_8: YEOQ2JTH

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/YEOQ2JTHQVFDGCONOM5P2X332O \
  | 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: c11d0d2667854a3309cd733afd5f7bd383fb6a84ca7676da126f27fd03f893e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aff63320faaa8a05eba1e1531a4baa4b8f5314e8970cc998ffee38595fe8bd2",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-07T14:18:06Z",
    "title_canon_sha256": "14964dbb6a65d79d6b57750c6a5e121c6e88ef1ff13f02da2b3867820222418a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02220",
    "kind": "arxiv",
    "version": 5
  }
}