Pith Number

pith:FJLKVDCZ

pith:2000:FJLKVDCZ5YZNIKJP4QZVSPNPS4

not attested not anchored not stored refs pending

Linearization of Poisson actions and singular values of matrix products

Anton Alekseev, Chris Woodward, Eckhard Meinrenken

arxiv:math/0012112 v1 · 2000-12-14 · math.SG · 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{FJLKVDCZ5YZNIKJP4QZVSPNPS4}

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	2026-05-18T04:08:43.247554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a56aa8c59ee32d4292fe433593daf973dc47db0b4634bf712a03b990cde5dd5

Aliases

arxiv: math/0012112 · arxiv_version: math/0012112v1 · doi: 10.48550/arxiv.math/0012112 · pith_short_12: FJLKVDCZ5YZN · pith_short_16: FJLKVDCZ5YZNIKJP · pith_short_8: FJLKVDCZ

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/FJLKVDCZ5YZNIKJP4QZVSPNPS4 \
  | 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: 2a56aa8c59ee32d4292fe433593daf973dc47db0b4634bf712a03b990cde5dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdeecf557e927b0fc8b2f8777c29e9f12b19e2625a16f34429d424113f7e0c12",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2000-12-14T13:45:34Z",
    "title_canon_sha256": "5378d29b693d82d6a548183e11cfbb2c00ca03e20f48ba7f907108343e60d370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012112",
    "kind": "arxiv",
    "version": 1
  }
}