Pith Number

pith:LHGQ7S7V

pith:2009:LHGQ7S7VLG6XWOSIE53DWQ6YPV

not attested not anchored not stored refs pending

Tropical Scaling of Polynomial Matrices

Meisam Sharify, St\'ephane Gaubert

arxiv:0905.0121 v1 · 2009-05-01 · math.NA · cs.NA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHGQ7S7VLG6XWOSIE53DWQ6YPV}

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	2026-06-03T23:06:25.892988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cd0fcbf559bd7b3a4827763b43d87d55a9ff20ab68d2624c3d274086693bea

Aliases

arxiv: 0905.0121 · arxiv_version: 0905.0121v1 · doi: 10.48550/arxiv.0905.0121 · pith_short_12: LHGQ7S7VLG6X · pith_short_16: LHGQ7S7VLG6XWOSI · pith_short_8: LHGQ7S7V

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/LHGQ7S7VLG6XWOSIE53DWQ6YPV \
  | 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: 59cd0fcbf559bd7b3a4827763b43d87d55a9ff20ab68d2624c3d274086693bea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78cd157532d76fa058d093a093e94ada4b625ecd52a46e5cb4ed9de0660bf5d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-05-01T17:04:37Z",
    "title_canon_sha256": "2d086e87100becfbb88ac4fa761688bf1ca885e3cdd152bbb6f240c95c1ff003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0121",
    "kind": "arxiv",
    "version": 1
  }
}