Pith Number

pith:VCTIMIGU

pith:2011:VCTIMIGUG7NOTEIFP5GGUFAG33

not attested not anchored not stored refs pending

Noncommutative Independence in the Infinite Braid and Symmetric Group

Claus K\"ostler, Rolf Gohm

arxiv:1102.0813 v1 · 2011-02-03 · math.OA · math.GR · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCTIMIGUG7NOTEIFP5GGUFAG33}

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	2026-05-18T04:30:03.561569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a68620d437dae991057f4c6a1406dec0033d42db5f5c432737c061597bcc06

Aliases

arxiv: 1102.0813 · arxiv_version: 1102.0813v1 · doi: 10.48550/arxiv.1102.0813 · pith_short_12: VCTIMIGUG7NO · pith_short_16: VCTIMIGUG7NOTEIF · pith_short_8: VCTIMIGU

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/VCTIMIGUG7NOTEIFP5GGUFAG33 \
  | 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: a8a68620d437dae991057f4c6a1406dec0033d42db5f5c432737c061597bcc06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53df3dbea3bcb1f066968b135177a1920a389705f452d106dfafff28af308b1e",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-02-03T23:25:31Z",
    "title_canon_sha256": "722ff80bc0ba2081b137b852805552424e23e35313768fd29a3754b9a4213abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0813",
    "kind": "arxiv",
    "version": 1
  }
}