Pith Number

pith:46RA4KL5

pith:2010:46RA4KL5TXCAZKTFVZQ7ONRFMO

not attested not anchored not stored refs pending

Lower central series of free algebras in symmetric tensor categories

Asilata Bapat, David Jordan

arxiv:1001.1375 v3 · 2010-01-08 · math.RA · 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{46RA4KL5TXCAZKTFVZQ7ONRFMO}

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	2026-05-18T01:03:37.393735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a20e297d9dc40caa65ae61f73625638df702f871d031d7e5d31a71b4e85332

Aliases

arxiv: 1001.1375 · arxiv_version: 1001.1375v3 · doi: 10.48550/arxiv.1001.1375 · pith_short_12: 46RA4KL5TXCA · pith_short_16: 46RA4KL5TXCAZKTF · pith_short_8: 46RA4KL5

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/46RA4KL5TXCAZKTFVZQ7ONRFMO \
  | 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: e7a20e297d9dc40caa65ae61f73625638df702f871d031d7e5d31a71b4e85332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45d5f8ef7b633746224aed1c01ec62916e232b50223caa4904dce28a69e75cc",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-01-08T22:51:12Z",
    "title_canon_sha256": "b59598129cff665ad2c35b6dc745748226c65c3705ae526490f063ab467ddc8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1375",
    "kind": "arxiv",
    "version": 3
  }
}