Pith Number

pith:PZGK6FPH

pith:2006:PZGK6FPHRUNYLNPZBAXFTQN7OO

not attested not anchored not stored refs pending

Poincare series of some pure and mixed trace algebras of two generic matrices

Dragomir Z. Djokovic

arxiv:math/0609262 v1 · 2006-09-09 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZGK6FPHRUNYLNPZBAXFTQN7OO}

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

1 paper in Pith

Bosonic Fortuity in Vector Models

Receipt and verification

First computed	2026-07-04T15:39:35.661857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4caf15e78d1b85b5f9082e59c1bf73bd70cfacbbf67488d91ff3a1513c309d

Aliases

arxiv: math/0609262 · arxiv_version: math/0609262v1 · doi: 10.48550/arxiv.math/0609262 · pith_short_12: PZGK6FPHRUNY · pith_short_16: PZGK6FPHRUNYLNPZ · pith_short_8: PZGK6FPH

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/PZGK6FPHRUNYLNPZBAXFTQN7OO \
  | 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: 7e4caf15e78d1b85b5f9082e59c1bf73bd70cfacbbf67488d91ff3a1513c309d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0953ad3323ed3b96438d8d492911539ce18b8100f79f37dc193ffe8ce9895340",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2006-09-09T23:57:02Z",
    "title_canon_sha256": "3c686823d1f17c652a15c3fb8738dd02b8a9166a2202bf9a1bf55d898eb8a85f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609262",
    "kind": "arxiv",
    "version": 1
  }
}