Pith Number

pith:B4EOWPYN

pith:2019:B4EOWPYNDOEPNOSJFXJ3IPHJDX

not attested not anchored not stored refs pending

Upper bounds on measure theoretic tail entropy for dominated splittings

Gang Liao, Yongluo Cao, Zhiyuan You

arxiv:1901.01694 v1 · 2019-01-07 · 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{B4EOWPYNDOEPNOSJFXJ3IPHJDX}

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	2026-05-17T23:56:51.440388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f08eb3f0d1b88f6ba492dd3b43ce91df61b9822e0e5619690f5d5993a377b98

Aliases

arxiv: 1901.01694 · arxiv_version: 1901.01694v1 · doi: 10.48550/arxiv.1901.01694 · pith_short_12: B4EOWPYNDOEP · pith_short_16: B4EOWPYNDOEPNOSJ · pith_short_8: B4EOWPYN

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/B4EOWPYNDOEPNOSJFXJ3IPHJDX \
  | 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: 0f08eb3f0d1b88f6ba492dd3b43ce91df61b9822e0e5619690f5d5993a377b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d07929800ec0b482de65e955383a4d19253273786b3f3c41eeee9f8da8dd93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-07T07:57:20Z",
    "title_canon_sha256": "415a77e7a7ce2d42c3a4270eed5c4b707592ab5725367902856c749fb360db7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01694",
    "kind": "arxiv",
    "version": 1
  }
}