Pith Number

pith:VR5VNSRB

pith:2012:VR5VNSRBA4RUDJU7M7Y6WEZQEP

not attested not anchored not stored refs pending

Nonadditive Measure-theoretic Pressure and Applications to Dimensions of an Ergodic Measure

Huyi Hu, Yongluo Cao, Yun Zhao

arxiv:1201.6497 v2 · 2012-01-31 · 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{VR5VNSRBA4RUDJU7M7Y6WEZQEP}

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	2026-05-18T04:02:13.226713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7b56ca21072341a69f67f1eb133023fb1a8f1ff7430b71b4e5ed52725dd531

Aliases

arxiv: 1201.6497 · arxiv_version: 1201.6497v2 · doi: 10.48550/arxiv.1201.6497 · pith_short_12: VR5VNSRBA4RU · pith_short_16: VR5VNSRBA4RUDJU7 · pith_short_8: VR5VNSRB

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/VR5VNSRBA4RUDJU7M7Y6WEZQEP \
  | 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: ac7b56ca21072341a69f67f1eb133023fb1a8f1ff7430b71b4e5ed52725dd531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d5858bfa2cd76e35185975bf83343c348ce3638016c2990716875caf772bc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-31T10:42:43Z",
    "title_canon_sha256": "0ec2e805d7fe4ebce7585347e151be7c8395192a653488f669dfd27caa59097d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6497",
    "kind": "arxiv",
    "version": 2
  }
}