Pith Number

pith:LDLOHWXE

pith:2017:LDLOHWXEZ3USWOGQ3LIFOX3WEK

not attested not anchored not stored refs pending

Virtual retraction and Howson's theorem in pro-$p$ groups

Mark Shusterman, Pavel Zalesskii

arxiv:1705.09096 v1 · 2017-05-25 · 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{LDLOHWXEZ3USWOGQ3LIFOX3WEK}

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	2026-05-18T00:43:40.438968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d6e3dae4cee92b38d0dad0575f762295880ec4ab51ed4e73dbf43669ce446d

Aliases

arxiv: 1705.09096 · arxiv_version: 1705.09096v1 · doi: 10.48550/arxiv.1705.09096 · pith_short_12: LDLOHWXEZ3US · pith_short_16: LDLOHWXEZ3USWOGQ · pith_short_8: LDLOHWXE

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/LDLOHWXEZ3USWOGQ3LIFOX3WEK \
  | 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: 58d6e3dae4cee92b38d0dad0575f762295880ec4ab51ed4e73dbf43669ce446d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f4d01c3669253a9c45f44ba35f9918b767d9cb2d738c44b7fd7e5a7520a093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-25T09:08:52Z",
    "title_canon_sha256": "e632f3f1fc512f89b0374b389a21b85a0d34f3b1f6350b403b1b83cb5bd8f89d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09096",
    "kind": "arxiv",
    "version": 1
  }
}