Pith Number

pith:Y2SBUTQS

pith:2015:Y2SBUTQSMC6FRE2XZY3XYKUHI5

not attested not anchored not stored refs pending

Permanent v. determinant: an exponential lower bound assumingsymmetry and a potential path towards Valiant's conjecture

Joseph M. Landsberg (TAMU), Nicolas Ressayre (ICJ)

arxiv:1508.05788 v2 · 2015-08-24 · math.AG · 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{Y2SBUTQSMC6FRE2XZY3XYKUHI5}

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	2026-05-18T01:34:47.334307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a41a4e1260bc589357ce377c2a87474dcf4b0d37a6b0980b190494d06b5b64

Aliases

arxiv: 1508.05788 · arxiv_version: 1508.05788v2 · doi: 10.48550/arxiv.1508.05788 · pith_short_12: Y2SBUTQSMC6F · pith_short_16: Y2SBUTQSMC6FRE2X · pith_short_8: Y2SBUTQS

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/Y2SBUTQSMC6FRE2XZY3XYKUHI5 \
  | 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: c6a41a4e1260bc589357ce377c2a87474dcf4b0d37a6b0980b190494d06b5b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b24cbc9ce51ccc3f1908897b24339999d35efbf4b9592daa76054843405cb6",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-24T12:52:23Z",
    "title_canon_sha256": "be077c7789ceced2abb659953ccb6d67545f93b7db180fc81b9eec10da52c109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05788",
    "kind": "arxiv",
    "version": 2
  }
}