Pith Number

pith:TL6GIOW2

pith:2011:TL6GIOW2HJFT6FZ53YS2YX7YJ6

not attested not anchored not stored refs pending

Residual nilpotence for generalizations of pure braid groups

Ivan Marin

arxiv:1111.5601 v1 · 2011-11-23 · 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{TL6GIOW2HJFT6FZ53YS2YX7YJ6}

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	2026-05-18T04:07:43.405676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afc643ada3a4b3f173dde25ac5ff84f83f0fbcf97f082088f71bec6a9fdef38

Aliases

arxiv: 1111.5601 · arxiv_version: 1111.5601v1 · doi: 10.48550/arxiv.1111.5601 · pith_short_12: TL6GIOW2HJFT · pith_short_16: TL6GIOW2HJFT6FZ5 · pith_short_8: TL6GIOW2

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/TL6GIOW2HJFT6FZ53YS2YX7YJ6 \
  | 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: 9afc643ada3a4b3f173dde25ac5ff84f83f0fbcf97f082088f71bec6a9fdef38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f6a7a58acc3948b033eeb25686195772c9aed4f97dcc1191556e80aa29fb79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-23T19:56:08Z",
    "title_canon_sha256": "ac30a83230b9d24bda08eda47a7fa8c4afeeb6dbdbbfabc72626423737633efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5601",
    "kind": "arxiv",
    "version": 1
  }
}