Pith Number

pith:OBLTAK5R

pith:2012:OBLTAK5REVJBL3544J4KJAA3U5

not attested not anchored not stored refs pending

Geometric Complexity Theory V: Efficient algorithms for Noether Normalization

Ketan D. Mulmuley

arxiv:1209.5993 v5 · 2012-09-26 · cs.CC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBLTAK5REVJBL3544J4KJAA3U5}

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	2026-05-18T01:13:38.469778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7057302bb1255215efbce278a4801ba77256a907aad3f84765ae2b87f0d2be10

Aliases

arxiv: 1209.5993 · arxiv_version: 1209.5993v5 · doi: 10.48550/arxiv.1209.5993 · pith_short_12: OBLTAK5REVJB · pith_short_16: OBLTAK5REVJBL354 · pith_short_8: OBLTAK5R

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/OBLTAK5REVJBL3544J4KJAA3U5 \
  | 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: 7057302bb1255215efbce278a4801ba77256a907aad3f84765ae2b87f0d2be10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf7d964996ab0cfb1aa4a767b0e64e18d5643407d91a6a9918b2fd30a3a7578",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-09-26T16:33:26Z",
    "title_canon_sha256": "fde3b5e25f5ac690b63f191524f0834d29a567d96f85ae34f49e1160c59317f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5993",
    "kind": "arxiv",
    "version": 5
  }
}