Pith Number

pith:YTTZFDRP

pith:2007:YTTZFDRPMGDICZIIGUWBLO2PIT

not attested not anchored not stored refs pending

Geometric Complexity Theory IV: nonstandard quantum group for the Kronecker problem

Jonah Blasiak, Ketan D. Mulmuley, Milind Sohoni

arxiv:cs/0703110 v4 · 2007-03-22 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTTZFDRPMGDICZIIGUWBLO2PIT}

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	2026-05-18T03:21:32.225493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e7928e2f6186816508352c15bb4f44e46714d77f022585a04746b9a5571a52

Aliases

arxiv: cs/0703110 · arxiv_version: cs/0703110v4 · doi: 10.48550/arxiv.cs/0703110 · pith_short_12: YTTZFDRPMGDI · pith_short_16: YTTZFDRPMGDICZII · pith_short_8: YTTZFDRP

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/YTTZFDRPMGDICZIIGUWBLO2PIT \
  | 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: c4e7928e2f6186816508352c15bb4f44e46714d77f022585a04746b9a5571a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d189111964a6e03f9a10b7c79b431166a771029776041feddaf5b3434cb35e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2007-03-22T15:35:29Z",
    "title_canon_sha256": "59c3e4f6b8fbd2efd6e56f4249b8d6fa1a769cf5aa27f3de242cab27b8cfd6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0703110",
    "kind": "arxiv",
    "version": 4
  }
}