Pith Number

pith:2Q555K7F

pith:2009:2Q555K7FX6NK3VTEV6RM5V263L

not attested not anchored not stored refs pending

An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP

Jerzy Weyman, J.M. Landsberg, Laurent Manivel, Peter Buergisser

arxiv:0907.2850 v2 · 2009-07-16 · cs.CC · math.AG · 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{2Q555K7FX6NK3VTEV6RM5V263L}

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	2026-05-18T04:32:00.094987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d43bdeabe5bf9aadd664afa2ced75edadb07bfa2a18b7d58c8f98b19e190e26b

Aliases

arxiv: 0907.2850 · arxiv_version: 0907.2850v2 · doi: 10.48550/arxiv.0907.2850 · pith_short_12: 2Q555K7FX6NK · pith_short_16: 2Q555K7FX6NK3VTE · pith_short_8: 2Q555K7F

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/2Q555K7FX6NK3VTEV6RM5V263L \
  | 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: d43bdeabe5bf9aadd664afa2ced75edadb07bfa2a18b7d58c8f98b19e190e26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a40dd3e618b26dbbd4cf25aa4e4fed86f113c10e92c86a4f817d3a5f222a8d6",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-07-16T17:47:41Z",
    "title_canon_sha256": "2a8a93700e0efdd32244c102b8643d9e476aa7282e3c7abb9bdcb88403185b5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2850",
    "kind": "arxiv",
    "version": 2
  }
}