Pith Number

pith:5EGPSMJR

pith:2010:5EGPSMJRMZAZAWNKEATKL4WZPY

not attested not anchored not stored refs pending

Polynomials with and without determinantal representations

Andreas Thom, Tim Netzer

arxiv:1008.1931 v2 · 2010-08-11 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EGPSMJRMZAZAWNKEATKL4WZPY}

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	2026-05-18T04:24:53.030570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90cf9313166419059aa2026a5f2d97e22a5928a97bbb14deae10ae5b448a2bc

Aliases

arxiv: 1008.1931 · arxiv_version: 1008.1931v2 · doi: 10.48550/arxiv.1008.1931 · pith_short_12: 5EGPSMJRMZAZ · pith_short_16: 5EGPSMJRMZAZAWNK · pith_short_8: 5EGPSMJR

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/5EGPSMJRMZAZAWNKEATKL4WZPY \
  | 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: e90cf9313166419059aa2026a5f2d97e22a5928a97bbb14deae10ae5b448a2bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f4636e1bd7a431a80ff558e35a2586ae381e4a0b0333600dbdd4ee9e30b6f8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-08-11T14:58:55Z",
    "title_canon_sha256": "3432ca0adeaa9ebe621495185801cf28854ce5e0b4afb0c2ebd8e9eee67dc268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1931",
    "kind": "arxiv",
    "version": 2
  }
}