Pith Number

pith:PJNMVGRO

pith:2010:PJNMVGROTXVJCTA6ZCSEZ4IBMB

not attested not anchored not stored refs pending

On Property (FA) for wreath products

Aditi Kar, Yves Cornulier

arxiv:1004.2582 v1 · 2010-04-15 · 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{PJNMVGROTXVJCTA6ZCSEZ4IBMB}

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	2026-05-18T03:10:24.762541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5aca9a2e9dea914c1ec8a44cf101607b5233699120953164ef18acad73f3a4

Aliases

arxiv: 1004.2582 · arxiv_version: 1004.2582v1 · doi: 10.48550/arxiv.1004.2582 · pith_short_12: PJNMVGROTXVJ · pith_short_16: PJNMVGROTXVJCTA6 · pith_short_8: PJNMVGRO

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/PJNMVGROTXVJCTA6ZCSEZ4IBMB \
  | 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: 7a5aca9a2e9dea914c1ec8a44cf101607b5233699120953164ef18acad73f3a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df060394d8bfecadee31651d0a08f144f90c9d89959feed6d5dba9adb0e6b267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-04-15T09:15:19Z",
    "title_canon_sha256": "3b89005b697b2ced4f87d7d7cc80d811ed808f9631adddbd87adec474100caf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2582",
    "kind": "arxiv",
    "version": 1
  }
}