Pith Number

pith:LHGUCZXC

pith:2014:LHGUCZXCTKO573DDRA6DB6SXVA

not attested not anchored not stored refs pending

Concordance group and stable commutator length in braid groups

Jarek K\k{e}dra, Michael Brandenbursky

arxiv:1402.3191 v5 · 2014-02-13 · 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{LHGUCZXCTKO573DDRA6DB6SXVA}

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	2026-05-18T01:26:11.047602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cd4166e29a9ddfec63883c30fa57a82875d8152cd5decd8d5859cf78ac6e5a

Aliases

arxiv: 1402.3191 · arxiv_version: 1402.3191v5 · doi: 10.48550/arxiv.1402.3191 · pith_short_12: LHGUCZXCTKO5 · pith_short_16: LHGUCZXCTKO573DD · pith_short_8: LHGUCZXC

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/LHGUCZXCTKO573DDRA6DB6SXVA \
  | 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: 59cd4166e29a9ddfec63883c30fa57a82875d8152cd5decd8d5859cf78ac6e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde0da17cc7137fb4aa8cd6d9a02ab8131bb8d54d0c996431ea0de784ec1f5e1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-02-13T15:59:02Z",
    "title_canon_sha256": "e8870f6139a1b3323b2ecf2541eb05e97af11d1572b70faee8e7186081704070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3191",
    "kind": "arxiv",
    "version": 5
  }
}