Pith Number

pith:IBFD6FCX

pith:2011:IBFD6FCXVGKQRCCEUZLC4OTTCP

not attested not anchored not stored refs pending

On Restricting Subsets of Bases in Relatively Free Groups

Dmytro Savchuk, Lucas Sabalka

arxiv:1103.2992 v3 · 2011-03-15 · 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{IBFD6FCXVGKQRCCEUZLC4OTTCP}

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	2026-05-18T03:34:46.459698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

404a3f1457a995088844a6562e3a7313ea8116f41ac235be1912c1ab2efeb6e1

Aliases

arxiv: 1103.2992 · arxiv_version: 1103.2992v3 · doi: 10.48550/arxiv.1103.2992 · pith_short_12: IBFD6FCXVGKQ · pith_short_16: IBFD6FCXVGKQRCCE · pith_short_8: IBFD6FCX

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/IBFD6FCXVGKQRCCEUZLC4OTTCP \
  | 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: 404a3f1457a995088844a6562e3a7313ea8116f41ac235be1912c1ab2efeb6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "050f7917c2b31417aa9e37c619c70d8d690a18ba399e16787a0f6542f956e97a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-15T18:44:41Z",
    "title_canon_sha256": "4af85210fe5ca339d095a0776ff44affb77a055714ac3b3bbed472a4565c47f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2992",
    "kind": "arxiv",
    "version": 3
  }
}