Pith Number

pith:QJ24YVEA

pith:2016:QJ24YVEACG52NMKU65UABBMZTS

not attested not anchored not stored refs pending

On the embedding of central extensions into wreath products

Andrei V. Zavarnitsine

arxiv:1610.09829 v1 · 2016-10-31 · 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{QJ24YVEACG52NMKU65UABBMZTS}

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	2026-05-18T01:00:47.112632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8275cc548011bba6b154f7680085999c8141b6dd90808a8409699b242beee165

Aliases

arxiv: 1610.09829 · arxiv_version: 1610.09829v1 · doi: 10.48550/arxiv.1610.09829 · pith_short_12: QJ24YVEACG52 · pith_short_16: QJ24YVEACG52NMKU · pith_short_8: QJ24YVEA

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/QJ24YVEACG52NMKU65UABBMZTS \
  | 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: 8275cc548011bba6b154f7680085999c8141b6dd90808a8409699b242beee165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007fbdc13f6e6f81d069d42ace13a7a208c27855b6a9352e4dfd815f59736bf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-31T08:54:14Z",
    "title_canon_sha256": "da8e487804b68bc1e3a64f6851040e8f985ca7fcd0cc0edac080022362c5a5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09829",
    "kind": "arxiv",
    "version": 1
  }
}