Pith Number

pith:5RLNAD2F

pith:2007:5RLNAD2FXBX3RVAYIUDRQTPWHF

not attested not anchored not stored refs pending

On the lower central series of an associative algebra

Galyna Dobrovolska, John Kim, Pavel Etingof, Xiaoguang Ma

arxiv:0709.1905 v3 · 2007-09-12 · math.QA · 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{5RLNAD2FXBX3RVAYIUDRQTPWHF}

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	2026-05-18T04:02:54.673079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec56d00f45b86fb8d4184507184df63969e495b10a39a7f4d8344fe11eb0863e

Aliases

arxiv: 0709.1905 · arxiv_version: 0709.1905v3 · doi: 10.48550/arxiv.0709.1905 · pith_short_12: 5RLNAD2FXBX3 · pith_short_16: 5RLNAD2FXBX3RVAY · pith_short_8: 5RLNAD2F

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/5RLNAD2FXBX3RVAYIUDRQTPWHF \
  | 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: ec56d00f45b86fb8d4184507184df63969e495b10a39a7f4d8344fe11eb0863e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aefa12d7c023236f6abd3869ee6846ccc81831aa0fa31f92d99e65e4e57ff1a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-09-12T15:28:04Z",
    "title_canon_sha256": "f256d8be8f07e8bb24b90ab5bab18c9b96eed10d975f1ccb3fd6e5cffee83044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1905",
    "kind": "arxiv",
    "version": 3
  }
}