Pith Number

pith:XEWUPCEQ

pith:2015:XEWUPCEQB6QQ5RDVSZ5UUP3XTU

not attested not anchored not stored refs pending

Components of V(\rho)\otimes V(\rho)

Shrawan Kumar

arxiv:1508.03071 v1 · 2015-08-12 · math.GR · 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{XEWUPCEQB6QQ5RDVSZ5UUP3XTU}

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	2026-05-18T01:35:21.815004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92d4788900fa10ec475967b4a3f779d3b4653a549c491ddfc782392a37033c8

Aliases

arxiv: 1508.03071 · arxiv_version: 1508.03071v1 · doi: 10.48550/arxiv.1508.03071 · pith_short_12: XEWUPCEQB6QQ · pith_short_16: XEWUPCEQB6QQ5RDV · pith_short_8: XEWUPCEQ

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/XEWUPCEQB6QQ5RDVSZ5UUP3XTU \
  | 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: b92d4788900fa10ec475967b4a3f779d3b4653a549c491ddfc782392a37033c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4461924128c52d77b140c7c98b54a0e6dd8bcd5fe6e432d49ac0731d03e8e22f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-12T21:28:41Z",
    "title_canon_sha256": "77414de426f85f11c46333d4683b504b874a4cc25a6c14ac909df6f1fab88e03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03071",
    "kind": "arxiv",
    "version": 1
  }
}