Pith Number

pith:PJX3YCHK

pith:2013:PJX3YCHKSOVOIICMPNZW7PUZPJ

not attested not anchored not stored refs pending

Yoga of Commutators in Roy's Elementary Orthogonal Group

A. A. Ambily

arxiv:1305.2826 v2 · 2013-05-13 · math.AC · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJX3YCHKSOVOIICMPNZW7PUZPJ}

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	2026-05-18T00:48:37.807733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6fbc08ea93aae4204c7b736fbe997a41073f7a44746e4141edcf2961b25a90

Aliases

arxiv: 1305.2826 · arxiv_version: 1305.2826v2 · doi: 10.48550/arxiv.1305.2826 · pith_short_12: PJX3YCHKSOVO · pith_short_16: PJX3YCHKSOVOIICM · pith_short_8: PJX3YCHK

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/PJX3YCHKSOVOIICMPNZW7PUZPJ \
  | 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: 7a6fbc08ea93aae4204c7b736fbe997a41073f7a44746e4141edcf2961b25a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb5003f523a91c447c2bffe72157beda45408bfc8dadf247a746a9cb4fb3f57",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-13T16:15:48Z",
    "title_canon_sha256": "4555376b9bf6fe96a472c61a34902477cc6a6671b5c33ab44ef2fac8f3a2c01b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2826",
    "kind": "arxiv",
    "version": 2
  }
}