Pith Number

pith:EOIR5RWN

pith:2011:EOIR5RWNWE7XOCWJYKYPHSYXVV

not attested not anchored not stored refs pending

On the filtration of a free algebra by its associative lower central series

George Kerchev

arxiv:1101.5741 v3 · 2011-01-30 · 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{EOIR5RWNWE7XOCWJYKYPHSYXVV}

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	2026-05-18T03:37:20.453523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23911ec6cdb13f770ac9c2b0f3cb17ad56a61998a80a0808f4131526b204392f

Aliases

arxiv: 1101.5741 · arxiv_version: 1101.5741v3 · doi: 10.48550/arxiv.1101.5741 · pith_short_12: EOIR5RWNWE7X · pith_short_16: EOIR5RWNWE7XOCWJ · pith_short_8: EOIR5RWN

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/EOIR5RWNWE7XOCWJYKYPHSYXVV \
  | 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: 23911ec6cdb13f770ac9c2b0f3cb17ad56a61998a80a0808f4131526b204392f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813fb35f98584e2d5a76d7d752410f85cebdd781693cb08141291b8c89e904a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-30T03:00:39Z",
    "title_canon_sha256": "6fb8d419d323d9121206c8068910dbcc3f3c9947d5d9f86b1a3c223dcd7736fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5741",
    "kind": "arxiv",
    "version": 3
  }
}