Pith Number

pith:UMLSYR7S

pith:2015:UMLSYR7S7AXUW7WCB3T7TVZXNR

not attested not anchored not stored refs pending

On Pesin's entropy formula for dominated splittings without mixed behavior

Dawei Yang, Yongluo Cao

arxiv:1512.08541 v1 · 2015-12-28 · 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{UMLSYR7S7AXUW7WCB3T7TVZXNR}

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	2026-05-18T01:23:37.456609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3172c47f2f82f4b7ec20ee7f9d7376c5355fda889e79e74cdc6c52b2bf3499f

Aliases

arxiv: 1512.08541 · arxiv_version: 1512.08541v1 · doi: 10.48550/arxiv.1512.08541 · pith_short_12: UMLSYR7S7AXU · pith_short_16: UMLSYR7S7AXUW7WC · pith_short_8: UMLSYR7S

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/UMLSYR7S7AXUW7WCB3T7TVZXNR \
  | 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: a3172c47f2f82f4b7ec20ee7f9d7376c5355fda889e79e74cdc6c52b2bf3499f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3ce25261620cef50261d0ac49d8d38611fde6b51a949feaba0f2bad676f62d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-28T22:04:34Z",
    "title_canon_sha256": "fe7cab040ab1addba669f2f2fea231d99b493b857fe3662825588ef613559766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08541",
    "kind": "arxiv",
    "version": 1
  }
}