Pith Number

pith:YMR2NXVS

pith:2009:YMR2NXVSIDOSFGUHCI4JIN34M2

not attested not anchored not stored refs pending

Entropy and escape of mass for $SL(3,Z)\SL(3,R)$

Manfred Einsiedler, Shirali Kadyrov

arxiv:0912.0475 v2 · 2009-12-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMR2NXVSIDOSFGUHCI4JIN34M2}

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	2026-05-18T04:41:05.200423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c323a6deb240dd229a87123894377c66adb802759c28a852d894ee6e642c5b5c

Aliases

arxiv: 0912.0475 · arxiv_version: 0912.0475v2 · doi: 10.48550/arxiv.0912.0475 · pith_short_12: YMR2NXVSIDOS · pith_short_16: YMR2NXVSIDOSFGUH · pith_short_8: YMR2NXVS

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/YMR2NXVSIDOSFGUHCI4JIN34M2 \
  | 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: c323a6deb240dd229a87123894377c66adb802759c28a852d894ee6e642c5b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70177007039254f4376202d608fba1d372aa78f9c64b46af7c9ffaacd375abf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-02T17:43:47Z",
    "title_canon_sha256": "7c1a5984f71f5db58d8abf221225cc89c5f017e4de6440211bbb2552d4f0e4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0475",
    "kind": "arxiv",
    "version": 2
  }
}