Pith Number

pith:WFAYIZDG

pith:2018:WFAYIZDGY6UWAYW3R2C2BSXIM6

not attested not anchored not stored refs pending

The lower central and derived series of the braid groups of compact surfaces

Carolina De Miranda E Pereiro (UFES), John Guaschi (LMNO, NU, UNICAEN)

arxiv:1802.07636 v1 · 2018-02-21 · 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{WFAYIZDGY6UWAYW3R2C2BSXIM6}

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	2026-05-18T00:22:49.723365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b141846466c7a96062db8e85a0cae8679f82dd2198cfc5282968b3ebe8caa451

Aliases

arxiv: 1802.07636 · arxiv_version: 1802.07636v1 · doi: 10.48550/arxiv.1802.07636 · pith_short_12: WFAYIZDGY6UW · pith_short_16: WFAYIZDGY6UWAYW3 · pith_short_8: WFAYIZDG

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/WFAYIZDGY6UWAYW3R2C2BSXIM6 \
  | 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: b141846466c7a96062db8e85a0cae8679f82dd2198cfc5282968b3ebe8caa451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f53dfb87e9cd7c2f711cd5b4896a562dcd02baa37e51c0217c52977b03d7d91",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-21T16:10:05Z",
    "title_canon_sha256": "641b125687e55cb256a00a22c1f91f853915bdad3f7c14e2fcd12e9107cd40da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07636",
    "kind": "arxiv",
    "version": 1
  }
}