Pith Number

pith:MBPNPWBM

pith:2016:MBPNPWBMUG5ORG2CMKV5OQUYCK

not attested not anchored not stored refs pending

Resolutions for Twisted Tensor Products

A.V. Shepler, S. Witherspoon

arxiv:1610.00583 v5 · 2016-10-03 · 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{MBPNPWBMUG5ORG2CMKV5OQUYCK}

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	2026-05-17T23:49:06.458450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

605ed7d82ca1bae89b4262abd742981298cd10cc7145c3d6ef699b6428fcf1fd

Aliases

arxiv: 1610.00583 · arxiv_version: 1610.00583v5 · doi: 10.48550/arxiv.1610.00583 · pith_short_12: MBPNPWBMUG5O · pith_short_16: MBPNPWBMUG5ORG2C · pith_short_8: MBPNPWBM

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/MBPNPWBMUG5ORG2CMKV5OQUYCK \
  | 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: 605ed7d82ca1bae89b4262abd742981298cd10cc7145c3d6ef699b6428fcf1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6acce462f0a5bd8158265cb0d78d94092118422a431b04d240e58f2ef73d321",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-10-03T15:14:04Z",
    "title_canon_sha256": "65f6a5ae965ed9c5acdbdef09d61c8d8e016914ced4e3af72e824fd49f53b366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00583",
    "kind": "arxiv",
    "version": 5
  }
}