Pith Number

pith:TZ4HR4KP

pith:2016:TZ4HR4KPVCQRPMMKLVZPLMD7RB

not attested not anchored not stored refs pending

Double centralizers in Artin-Tits groups

Eddy Godelle, Oussama Ajbal

arxiv:1605.07097 v1 · 2016-05-23 · 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{TZ4HR4KPVCQRPMMKLVZPLMD7RB}

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	2026-05-18T01:14:10.030427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7878f14fa8a117b18a5d72f5b07f8862c8a66feee22e723498975dae816efd

Aliases

arxiv: 1605.07097 · arxiv_version: 1605.07097v1 · doi: 10.48550/arxiv.1605.07097 · pith_short_12: TZ4HR4KPVCQR · pith_short_16: TZ4HR4KPVCQRPMMK · pith_short_8: TZ4HR4KP

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/TZ4HR4KPVCQRPMMKLVZPLMD7RB \
  | 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: 9e7878f14fa8a117b18a5d72f5b07f8862c8a66feee22e723498975dae816efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4280d02377ace9fb746d1c4e4bf710661ffb2f1e839055ac50db4b6d9086bddb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-23T17:13:55Z",
    "title_canon_sha256": "9a0e3bd132517ede8c47989b4fd5ccd870b5f02c980e20a11063b2dd190a8d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07097",
    "kind": "arxiv",
    "version": 1
  }
}