Pith Number

pith:CMOT4TPG

pith:2019:CMOT4TPGDKCCWMQYUIBDG2SJYR

not attested not anchored not stored refs pending

Rare event process and entry times distribution for arbitrary null sets on compact manifolds

Fan Yang

arxiv:1905.09956 v1 · 2019-05-23 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMOT4TPGDKCCWMQYUIBDG2SJYR}

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	2026-05-17T23:45:13.902998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131d3e4de61a842b3218a202336a49c446f07a24356d252c80add570ee41d298

Aliases

arxiv: 1905.09956 · arxiv_version: 1905.09956v1 · doi: 10.48550/arxiv.1905.09956 · pith_short_12: CMOT4TPGDKCC · pith_short_16: CMOT4TPGDKCCWMQY · pith_short_8: CMOT4TPG

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/CMOT4TPGDKCCWMQYUIBDG2SJYR \
  | 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: 131d3e4de61a842b3218a202336a49c446f07a24356d252c80add570ee41d298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c3b92235694184d74e52dfa17a1301063e88873ce511a5056a22cf6c4158a1f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-23T22:32:04Z",
    "title_canon_sha256": "a26ccc07ee8a1e825bd8b5ad6a19ca80076eded1b40ad9df4faf7e32655d6b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09956",
    "kind": "arxiv",
    "version": 1
  }
}