Pith Number

pith:TJRCA6IN

pith:2013:TJRCA6INP6UZZGV6C3FP3WCLH6

not attested not anchored not stored refs pending

Examples of support varieties for Hopf algebras with noncommutative tensor products

Dave Benson, Sarah Witherspoon

arxiv:1308.5262 v1 · 2013-08-23 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJRCA6INP6UZZGV6C3FP3WCLH6}

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	2026-05-18T03:15:07.291787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6220790d7fa99c9abe16cafdd84b3fa8be3aa6d939dfa339a634d22e6910cb

Aliases

arxiv: 1308.5262 · arxiv_version: 1308.5262v1 · doi: 10.48550/arxiv.1308.5262 · pith_short_12: TJRCA6INP6UZ · pith_short_16: TJRCA6INP6UZZGV6 · pith_short_8: TJRCA6IN

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/TJRCA6INP6UZZGV6C3FP3WCLH6 \
  | 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: 9a6220790d7fa99c9abe16cafdd84b3fa8be3aa6d939dfa339a634d22e6910cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b8392d59685bbea0db70a0772d6518f1f0edcc8f035096f5ebddbb6e3294b9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-23T23:03:24Z",
    "title_canon_sha256": "0e94df5cbeee3d662eaedf93c9f1ed65a731a4a88765df8c252e7e9e36f0db65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5262",
    "kind": "arxiv",
    "version": 1
  }
}