Pith Number

pith:LHJEPE7E

pith:2020:LHJEPE7E4PJXGKPPZWDNB7BF5E

not attested not anchored not stored refs pending

A Lower Bound on Determinantal Complexity

Ben lee Volk, Mrinal Kumar

arxiv:2009.02452 v2 · 2020-09-05 · 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{LHJEPE7E4PJXGKPPZWDNB7BF5E}

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.

Cited by

2 papers in Pith

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization

A symmetric determinantal lower bound for diagonal power sums via polar degree

Receipt and verification

First computed	2026-07-05T03:36:51.653202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d24793e4e3d37329efcd86d0fc25e9117113daaf0bd5f454d278e7f9e7ea7b

Aliases

arxiv: 2009.02452 · arxiv_version: 2009.02452v2 · doi: 10.48550/arxiv.2009.02452 · pith_short_12: LHJEPE7E4PJX · pith_short_16: LHJEPE7E4PJXGKPP · pith_short_8: LHJEPE7E

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/LHJEPE7E4PJXGKPPZWDNB7BF5E \
  | 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: 59d24793e4e3d37329efcd86d0fc25e9117113daaf0bd5f454d278e7f9e7ea7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba88610a41453f50f7d179f097956cb274322d4ad098d72fedb60b1f4f3de7a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-09-05T03:50:35Z",
    "title_canon_sha256": "8a97df7cca3bf45915e1ff06d986197832c37c2214a3b09c9e3266b247f22662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02452",
    "kind": "arxiv",
    "version": 2
  }
}