Pith Number

pith:QUJ7GUIE

pith:2011:QUJ7GUIEOVGDMEK3NCXGWYZ45V

not attested not anchored not stored refs pending

Two generalizations of the nonabelian tensor product

Manuel Ladra, Viji Z. Thomas

arxiv:1106.2136 v1 · 2011-06-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUJ7GUIEOVGDMEK3NCXGWYZ45V}

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	2026-05-18T04:20:13.584442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8513f35104754c36115b68ae6b633ced4eca8dbd944be5ad826847854d7c32d3

Aliases

arxiv: 1106.2136 · arxiv_version: 1106.2136v1 · doi: 10.48550/arxiv.1106.2136 · pith_short_12: QUJ7GUIEOVGD · pith_short_16: QUJ7GUIEOVGDMEK3 · pith_short_8: QUJ7GUIE

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/QUJ7GUIEOVGDMEK3NCXGWYZ45V \
  | 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: 8513f35104754c36115b68ae6b633ced4eca8dbd944be5ad826847854d7c32d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5daa2d71dd973b69f78a4359dc80e2fdc7661fd6691a248bc329b987595873e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-10T18:08:50Z",
    "title_canon_sha256": "bb38b6c4f1485b384142da5c61fa09db9d1173ffd238b9e06fa615d2b11c6c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2136",
    "kind": "arxiv",
    "version": 1
  }
}