Pith Number

pith:TDLYVZ47

pith:2015:TDLYVZ47GV7NRUNTHNTZG77QAX

not attested not anchored not stored refs pending

The commutators of classical groups

N. Vavilov, R. Hazrat, Z. Zhang

arxiv:1510.07143 v1 · 2015-10-24 · math.RA · 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{TDLYVZ47GV7NRUNTHNTZG77QAX}

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	2026-05-18T01:25:57.018907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d78ae79f357ed8d1b33b67937ff005c18ce581bfb0a3e36afdf3b40e3bb0a8

Aliases

arxiv: 1510.07143 · arxiv_version: 1510.07143v1 · doi: 10.48550/arxiv.1510.07143 · pith_short_12: TDLYVZ47GV7N · pith_short_16: TDLYVZ47GV7NRUNT · pith_short_8: TDLYVZ47

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/TDLYVZ47GV7NRUNTHNTZG77QAX \
  | 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: 98d78ae79f357ed8d1b33b67937ff005c18ce581bfb0a3e36afdf3b40e3bb0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d35ecfca3bd65ccaea0293e9b18fd7698c5cacf4665d5892bef1ecbb013ed6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-24T13:09:16Z",
    "title_canon_sha256": "e049309e34f0ab6ac893d4d2b0417b6225851d2afb6337a0fcb7df1078c0c19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07143",
    "kind": "arxiv",
    "version": 1
  }
}