Pith Number

pith:J6HREPNH

pith:2018:J6HREPNHPOVYZUGR6YC6JU4ILE

not attested not anchored not stored refs pending

Commutator Subgroups of Singular Braid Groups

Krishnendu Gongopadhyay, Soumya Dey

arxiv:1806.05902 v2 · 2018-06-15 · 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{J6HREPNHPOVYZUGR6YC6JU4ILE}

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	2026-05-17T23:55:58.439863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8f123da77bab8cd0d1f605e4d3885938b8cbd74ed806ce54ab90ec5fac0bb4

Aliases

arxiv: 1806.05902 · arxiv_version: 1806.05902v2 · doi: 10.48550/arxiv.1806.05902 · pith_short_12: J6HREPNHPOVY · pith_short_16: J6HREPNHPOVYZUGR · pith_short_8: J6HREPNH

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/J6HREPNHPOVYZUGR6YC6JU4ILE \
  | 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: 4f8f123da77bab8cd0d1f605e4d3885938b8cbd74ed806ce54ab90ec5fac0bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "629de205c5fa07d765b0b89f23dd8a3c66003d114c8695a2c77842ca587d7f62",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-15T11:01:30Z",
    "title_canon_sha256": "9648bcba0af9fa532a66561071fcdf4afc75aae4f5684f9cde7ef99d110080f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05902",
    "kind": "arxiv",
    "version": 2
  }
}