Pith Number

pith:3L6VTQYJ

pith:2008:3L6VTQYJKMRHCCFL6S552PEDKN

not attested not anchored not stored refs pending

Symplectic polynomial invariants of one or two matrices of small size

Dragomir Z. Djokovic

arxiv:0808.3204 v2 · 2008-08-23 · math.AC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3L6VTQYJKMRHCCFL6S552PEDKN}

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	2026-05-18T03:56:08.835944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dafd59c30953227108abf4bbdd3c835347f9a69df80f74522364e1e951fd725b

Aliases

arxiv: 0808.3204 · arxiv_version: 0808.3204v2 · doi: 10.48550/arxiv.0808.3204 · pith_short_12: 3L6VTQYJKMRH · pith_short_16: 3L6VTQYJKMRHCCFL · pith_short_8: 3L6VTQYJ

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/3L6VTQYJKMRHCCFL6S552PEDKN \
  | 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: dafd59c30953227108abf4bbdd3c835347f9a69df80f74522364e1e951fd725b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6850b8655f06b6f952aab95037a0649b254d651d15997f411cb00fca0ea0cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-08-23T17:52:08Z",
    "title_canon_sha256": "ca3d32a3e44794007d3eaeb562f34a7896298775015d5736cf79743b229a15f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3204",
    "kind": "arxiv",
    "version": 2
  }
}