Pith Number

pith:MZ7P6LRB

pith:2016:MZ7P6LRBAHUVFEA2HM5LE76OXR

not attested not anchored not stored refs pending

Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property

Apoorva Khare

arxiv:1601.04775 v3 · 2016-01-19 · math.RA · 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{MZ7P6LRBAHUVFEA2HM5LE76OXR}

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	2026-05-18T00:45:35.049078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667eff2e2101e952901a3b3ab27fcebc443513d8db69fe400d9c8ce2940e9ee7

Aliases

arxiv: 1601.04775 · arxiv_version: 1601.04775v3 · doi: 10.48550/arxiv.1601.04775 · pith_short_12: MZ7P6LRBAHUV · pith_short_16: MZ7P6LRBAHUVFEA2 · pith_short_8: MZ7P6LRB

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/MZ7P6LRBAHUVFEA2HM5LE76OXR \
  | 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: 667eff2e2101e952901a3b3ab27fcebc443513d8db69fe400d9c8ce2940e9ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d34a46b400ef18cca9e9b805e22e94c63e7e163aab23d6a0e6a17e3a276501",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-01-19T02:42:07Z",
    "title_canon_sha256": "439338b29316035e8aaae6cbb16957bc48f210273888c967548bd2b4958f28c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04775",
    "kind": "arxiv",
    "version": 3
  }
}