Pith Number

pith:RFWRZIFL

pith:2010:RFWRZIFLMPFCYSMNSMUP3L4G3Z

not attested not anchored not stored refs pending

Equilibrium states of the pressure function for products of matrices

Antti Kaenmaki, De-Jun Feng

arxiv:1009.3129 v1 · 2010-09-16 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFWRZIFLMPFCYSMNSMUP3L4G3Z}

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	2026-05-18T00:51:34.471925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

896d1ca0ab63ca2c498d9328fdaf86de74c014212d2fe7c3b8ad50b3f35b5d8d

Aliases

arxiv: 1009.3129 · arxiv_version: 1009.3129v1 · doi: 10.48550/arxiv.1009.3129 · pith_short_12: RFWRZIFLMPFC · pith_short_16: RFWRZIFLMPFCYSMN · pith_short_8: RFWRZIFL

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/RFWRZIFLMPFCYSMNSMUP3L4G3Z \
  | 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: 896d1ca0ab63ca2c498d9328fdaf86de74c014212d2fe7c3b8ad50b3f35b5d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e692e17b661666d228c1a7628da19b305fb94f9fd8b1cc62857c10f00c7acbc7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-16T09:49:31Z",
    "title_canon_sha256": "20cd350c3a8af56067a07f4d1661336db87fd9bdcb8d9610ab968ec79318e033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3129",
    "kind": "arxiv",
    "version": 1
  }
}