Pith Number

pith:M3XNLQHO

pith:2014:M3XNLQHO7C5LSRIZQ5Y342OPU7

not attested not anchored not stored refs pending

Poisson Geometry of Monic Matrix Polynomials

Alexander Shapiro

arxiv:1405.3909 v2 · 2014-05-15 · math-ph · math.MP · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3XNLQHO7C5LSRIZQ5Y342OPU7}

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	2026-05-18T01:30:55.548271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66eed5c0eef8bab945198771be69cfa7db39f81eb9154de3beaa80e37953467c

Aliases

arxiv: 1405.3909 · arxiv_version: 1405.3909v2 · doi: 10.48550/arxiv.1405.3909 · pith_short_12: M3XNLQHO7C5L · pith_short_16: M3XNLQHO7C5LSRIZ · pith_short_8: M3XNLQHO

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/M3XNLQHO7C5LSRIZQ5Y342OPU7 \
  | 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: 66eed5c0eef8bab945198771be69cfa7db39f81eb9154de3beaa80e37953467c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f1a0b3f34c5426d9ce978666acdb3404b15ad57f6e5b13919f25c5e239ad41",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-15T16:52:03Z",
    "title_canon_sha256": "9736ccb98966923d5e262df84bac5ceb59bf112f7ca80fa94b7032a81a74c2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3909",
    "kind": "arxiv",
    "version": 2
  }
}