Pith Number

pith:MJJOBPWV

pith:2011:MJJOBPWV56VIQN6L3ZJVFAR2AS

not attested not anchored not stored refs pending

Intersecting free subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

Alexander Zakharov

arxiv:1105.2471 v2 · 2011-05-12 · 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{MJJOBPWV56VIQN6L3ZJVFAR2AS}

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	2026-05-18T04:18:52.869043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6252e0bed5efaa8837cbde5352823a04b1655f0904e7a5cfa57b2960e591be5f

Aliases

arxiv: 1105.2471 · arxiv_version: 1105.2471v2 · doi: 10.48550/arxiv.1105.2471 · pith_short_12: MJJOBPWV56VI · pith_short_16: MJJOBPWV56VIQN6L · pith_short_8: MJJOBPWV

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/MJJOBPWV56VIQN6L3ZJVFAR2AS \
  | 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: 6252e0bed5efaa8837cbde5352823a04b1655f0904e7a5cfa57b2960e591be5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36cdb10f6ee6f8feafe23838873052933af9e24df66c4f1c55307af02f9f29b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-12T13:36:12Z",
    "title_canon_sha256": "de5f3427a4a19037cd9c37bdb14f07d78761d5e2a633fd9f22bea92e8484ae0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2471",
    "kind": "arxiv",
    "version": 2
  }
}