Pith Number

pith:6U7XYH4N

pith:2012:6U7XYH4NQS3W5IW2KDSVPDVJ4G

not attested not anchored not stored refs pending

Explicit Lower Bounds via Geometric Complexity Theory

Christian Ikenmeyer, Peter B\"urgisser

arxiv:1210.8368 v2 · 2012-10-31 · cs.CC · 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{6U7XYH4NQS3W5IW2KDSVPDVJ4G}

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	2026-05-18T03:30:41.542978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53f7c1f8d84b76ea2da50e5578ea9e1b407e81a348b1316f98f93ff3655ff18

Aliases

arxiv: 1210.8368 · arxiv_version: 1210.8368v2 · doi: 10.48550/arxiv.1210.8368 · pith_short_12: 6U7XYH4NQS3W · pith_short_16: 6U7XYH4NQS3W5IW2 · pith_short_8: 6U7XYH4N

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/6U7XYH4NQS3W5IW2KDSVPDVJ4G \
  | 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: f53f7c1f8d84b76ea2da50e5578ea9e1b407e81a348b1316f98f93ff3655ff18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a666b1317e95749c1f313c4b64758e8400ef41fee969a3f02ceca7451c85f9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-10-31T15:36:30Z",
    "title_canon_sha256": "0bae44c3030b8e0d7d4567a1d6990e022cbb8a84edf622e78893f09420f3da89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8368",
    "kind": "arxiv",
    "version": 2
  }
}