Pith Number

pith:ROBCQUQI

pith:2011:ROBCQUQIIQFCQPUX5NCQU74CMI

not attested not anchored not stored refs pending

Exact sequences, lower central series and representations of surface braid groups

Eddy Godelle (LMNO), John Guaschi (LMNO), Paolo Bellingeri (LMNO)

arxiv:1106.4982 v1 · 2011-06-24 · 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{ROBCQUQIIQFCQPUX5NCQU74CMI}

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	2026-05-18T04:19:22.625921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b82285208440a283e97eb450a7f82620466a19c3864e443f00fb57d479d11df

Aliases

arxiv: 1106.4982 · arxiv_version: 1106.4982v1 · doi: 10.48550/arxiv.1106.4982 · pith_short_12: ROBCQUQIIQFC · pith_short_16: ROBCQUQIIQFCQPUX · pith_short_8: ROBCQUQI

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/ROBCQUQIIQFCQPUX5NCQU74CMI \
  | 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: 8b82285208440a283e97eb450a7f82620466a19c3864e443f00fb57d479d11df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7a450e0448760784ca6e30555c1181a1e557d93e21a4e6dd53ab1f444a8907",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-24T14:49:13Z",
    "title_canon_sha256": "b3d32a047932cb00b0cee4bb8601733e811f27c45183521b3766eae02fa2b27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4982",
    "kind": "arxiv",
    "version": 1
  }
}