Pith Number

pith:F5LLRX6B

pith:2017:F5LLRX6BUAXNJHEEOE6NPSP5SP

not attested not anchored not stored refs pending

Inconsistency of Measure-Theoretic Probability and Random Behavior of Microscopic Systems

Guang-Liang Li, Victor O.K. Li

arxiv:1702.08551 v1 · 2017-02-24 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5LLRX6BUAXNJHEEOE6NPSP5SP}

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	2026-05-18T00:49:48.408327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f56b8dfc1a02ed49c84713cd7c9fd93e580320af7347a1cde346d2b6705d1f7

Aliases

arxiv: 1702.08551 · arxiv_version: 1702.08551v1 · doi: 10.48550/arxiv.1702.08551 · pith_short_12: F5LLRX6BUAXN · pith_short_16: F5LLRX6BUAXNJHEE · pith_short_8: F5LLRX6B

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/F5LLRX6BUAXNJHEEOE6NPSP5SP \
  | 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: 2f56b8dfc1a02ed49c84713cd7c9fd93e580320af7347a1cde346d2b6705d1f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367a059801426ecb8c04e51d799f6baf7573c0e74be739ab3769ab43eeb343c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-02-24T03:56:27Z",
    "title_canon_sha256": "6c0c4ebfb261d3e9f37253def03f16dd4eacf9c88930ee07a7166aa2e4bfac88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08551",
    "kind": "arxiv",
    "version": 1
  }
}