Pith Number

pith:ND2V6JNJ

pith:2011:ND2V6JNJ4CKV525KYZRXDMQWZ5

not attested not anchored not stored refs pending

Relative commutator calculus in Chevalley groups

Nikolai Vavilov, Roozbeh Hazrat, Zuhong Zhang

arxiv:1107.3009 v2 · 2011-07-15 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ND2V6JNJ4CKV525KYZRXDMQWZ5}

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	2026-05-18T03:39:41.963991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f55f25a9e0955eebaac66371b216cf4b1d8f243c33bfcd65954883dce12acb

Aliases

arxiv: 1107.3009 · arxiv_version: 1107.3009v2 · doi: 10.48550/arxiv.1107.3009 · pith_short_12: ND2V6JNJ4CKV · pith_short_16: ND2V6JNJ4CKV525K · pith_short_8: ND2V6JNJ

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/ND2V6JNJ4CKV525KYZRXDMQWZ5 \
  | 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: 68f55f25a9e0955eebaac66371b216cf4b1d8f243c33bfcd65954883dce12acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91dc92b9bd9584b7a6632a8f4e6a235912a5f0ef1efc9f3a8ac7601cc1ab79bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-07-15T08:41:06Z",
    "title_canon_sha256": "7d7b0db806e0c89cbdc8eeaa3da0c05842e4b319e7e78da6f4f62d91ea3c3aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3009",
    "kind": "arxiv",
    "version": 2
  }
}