Pith Number

pith:X4Q2UV66

pith:2017:X4Q2UV66KAP2FHVU6I2CFHYS3U

not attested not anchored not stored refs pending

Commutator Subgroups of Welded Braid Groups

Krishnendu Gongopadhyay, Soumya Dey

arxiv:1704.03897 v3 · 2017-04-12 · math.GT · 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{X4Q2UV66KAP2FHVU6I2CFHYS3U}

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	2026-05-18T00:25:23.814660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf21aa57de501fa29eb4f234229f12dd3788ca23b76f3ab855f44c1d321d8bac

Aliases

arxiv: 1704.03897 · arxiv_version: 1704.03897v3 · doi: 10.48550/arxiv.1704.03897 · pith_short_12: X4Q2UV66KAP2 · pith_short_16: X4Q2UV66KAP2FHVU · pith_short_8: X4Q2UV66

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/X4Q2UV66KAP2FHVU6I2CFHYS3U \
  | 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: bf21aa57de501fa29eb4f234229f12dd3788ca23b76f3ab855f44c1d321d8bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b52dd47608525486070dd24279336be2aa7aeddc2e4db10b5172c92a231f54",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-12T18:49:33Z",
    "title_canon_sha256": "2505739264a1a2a8b561cbe6cbba15ed22107f1996e25fbfac6c2d743352f7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03897",
    "kind": "arxiv",
    "version": 3
  }
}