Pith Number

pith:3ULNJTON

pith:2015:3ULNJTONJTV6GPSCVGK4AADF64

not attested not anchored not stored refs pending

Magnus embedding and algorithmic properties of groups $F/N^{(d)}$

Alexander Ushakov, Funda Gul, Mahmood Sohrabi

arxiv:1501.01001 v1 · 2015-01-05 · 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{3ULNJTONJTV6GPSCVGK4AADF64}

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	2026-05-18T02:30:00.441006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd16d4cdcd4cebe33e42a995c00065f7132f8e4d3b2ce871f5a728c74cbac90e

Aliases

arxiv: 1501.01001 · arxiv_version: 1501.01001v1 · doi: 10.48550/arxiv.1501.01001 · pith_short_12: 3ULNJTONJTV6 · pith_short_16: 3ULNJTONJTV6GPSC · pith_short_8: 3ULNJTON

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/3ULNJTONJTV6GPSCVGK4AADF64 \
  | 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: dd16d4cdcd4cebe33e42a995c00065f7132f8e4d3b2ce871f5a728c74cbac90e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10ef3e0eb4bc1ce464999afb742f27b1bbd086286442c6f1de7bb3d3b87b177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-05T21:04:16Z",
    "title_canon_sha256": "56d33e29c157a479e3ef44cc8f4b88edd7c36a56afc17b1a92280f6c96a663b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01001",
    "kind": "arxiv",
    "version": 1
  }
}