Pith Number

pith:TWJXZT52

pith:2015:TWJXZT524FEQSL4PRHVDJYE6A4

not attested not anchored not stored refs pending

Entropy and Grand Lebesgue Spaces approach for Prokhorov-Skorokhod continuity of random processes, with tail estimates

E. Ostrovsky, L. Sirota

arxiv:1512.01909 v1 · 2015-12-07 · 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{TWJXZT524FEQSL4PRHVDJYE6A4}

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	2026-05-18T01:25:10.038256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d937ccfbae149092f8f89ea34e09e073e7d07f8ac7d94c75a8f4fce0ff3f7f5

Aliases

arxiv: 1512.01909 · arxiv_version: 1512.01909v1 · doi: 10.48550/arxiv.1512.01909 · pith_short_12: TWJXZT524FEQ · pith_short_16: TWJXZT524FEQSL4P · pith_short_8: TWJXZT52

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/TWJXZT524FEQSL4PRHVDJYE6A4 \
  | 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: 9d937ccfbae149092f8f89ea34e09e073e7d07f8ac7d94c75a8f4fce0ff3f7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a70d1226a0e2dac4b5c6a8f3cbeda15b787b130f25df9a20a2d7dc589f1e066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-07T04:41:04Z",
    "title_canon_sha256": "132248cd6361b2c84c99f06390e6c6bada85ed464483d0b8618a3d665c51ce4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01909",
    "kind": "arxiv",
    "version": 1
  }
}