Pith Number

pith:I33IESMH

pith:2018:I33IESMHE6FN2AGQWVM36BZXOG

not attested not anchored not stored refs pending

Commutator Subgroups of Twin Groups and Grothendieck's Cartographical Groups

Krishnendu Gongopadhyay, Soumya Dey

arxiv:1804.05375 v2 · 2018-04-15 · 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{I33IESMHE6FN2AGQWVM36BZXOG}

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	2026-05-18T00:16:49.938076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f6824987278add00d0b559bf073771bdd0c7c41c8610a675047bf76219019d

Aliases

arxiv: 1804.05375 · arxiv_version: 1804.05375v2 · doi: 10.48550/arxiv.1804.05375 · pith_short_12: I33IESMHE6FN · pith_short_16: I33IESMHE6FN2AGQ · pith_short_8: I33IESMH

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/I33IESMHE6FN2AGQWVM36BZXOG \
  | 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: 46f6824987278add00d0b559bf073771bdd0c7c41c8610a675047bf76219019d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7755569fdab3695b4daf174e56265970fa5caab7d3eeabce3f83e9ed3d730642",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-15T16:02:42Z",
    "title_canon_sha256": "3398bc7b32014d509b5a3820b8893a5113064e831842b20af0d8893cadb7e484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05375",
    "kind": "arxiv",
    "version": 2
  }
}