Pith Number

pith:N7OMEJ5J

pith:2007:N7OMEJ5J6ORWOWN2RFAECGGVQP

not attested not anchored not stored refs pending

Geometric Complexity Theory VII: Nonstandard quantum group for the plethysm problem

Ketan D. Mulmuley

arxiv:0709.0749 v2 · 2007-09-05 · 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{N7OMEJ5J6ORWOWN2RFAECGGVQP}

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	2026-07-04T15:13:57.010519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fdcc227a9f3a36759ba89404118d583fd71c6f773ed8fd0bfa3aaaa79e6871d

Aliases

arxiv: 0709.0749 · arxiv_version: 0709.0749v2 · doi: 10.48550/arxiv.0709.0749 · pith_short_12: N7OMEJ5J6ORW · pith_short_16: N7OMEJ5J6ORWOWN2 · pith_short_8: N7OMEJ5J

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/N7OMEJ5J6ORWOWN2RFAECGGVQP \
  | 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: 6fdcc227a9f3a36759ba89404118d583fd71c6f773ed8fd0bfa3aaaa79e6871d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c1f4b0f7e779cbcd64ae518874330a667d38db4c5f71e4dc7154db1df7d9b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2007-09-05T22:23:15Z",
    "title_canon_sha256": "9256458be526fba88ebd3eef222c073234564d689f134e86a5f59413ae666328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0749",
    "kind": "arxiv",
    "version": 2
  }
}