Pith Number

pith:T7YI2PKU

pith:2015:T7YI2PKUKS6EI3Y3VSOPVCVMFN

not attested not anchored not stored refs pending

Convergence in Density in Finite Time Windows and the Skorohod Representation

Hermann Thorisson

arxiv:1508.07838 v1 · 2015-08-31 · 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{T7YI2PKUKS6EI3Y3VSOPVCVMFN}

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	2026-05-18T01:34:31.352706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ff08d3d5454bc446f1bac9cfa8aac2b538463461ab48b9325362e97fc798b8e

Aliases

arxiv: 1508.07838 · arxiv_version: 1508.07838v1 · doi: 10.48550/arxiv.1508.07838 · pith_short_12: T7YI2PKUKS6E · pith_short_16: T7YI2PKUKS6EI3Y3 · pith_short_8: T7YI2PKU

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/T7YI2PKUKS6EI3Y3VSOPVCVMFN \
  | 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: 9ff08d3d5454bc446f1bac9cfa8aac2b538463461ab48b9325362e97fc798b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051ce354a6b0bd27d88de0c371abb577f2339871ace1aaf57c568f1664c460b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-31T14:13:19Z",
    "title_canon_sha256": "c4dadf6b368fab2f34eb622a0c77911795b946f9109d5ef04b2d17069622c2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07838",
    "kind": "arxiv",
    "version": 1
  }
}