Pith Number

pith:T3VIDDP4

pith:2019:T3VIDDP4HMA4E3AXE3SXWRPDTY

not attested not anchored not stored refs pending

Harnack and Super Poincar\'{e} Inequalities for Generalized Cox-Ingersoll-Ross Model

Fei Zhao, Xing Huang

arxiv:1908.02888 v2 · 2019-08-08 · 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{T3VIDDP4HMA4E3AXE3SXWRPDTY}

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	2026-07-04T23:53:16.971058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eea818dfc3b01c26c1726e57b45e39e2420a04b928fc51d168e86f6888d1869

Aliases

arxiv: 1908.02888 · arxiv_version: 1908.02888v2 · doi: 10.48550/arxiv.1908.02888 · pith_short_12: T3VIDDP4HMA4 · pith_short_16: T3VIDDP4HMA4E3AX · pith_short_8: T3VIDDP4

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/T3VIDDP4HMA4E3AXE3SXWRPDTY \
  | 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: 9eea818dfc3b01c26c1726e57b45e39e2420a04b928fc51d168e86f6888d1869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae33fc9768ba0e68364fe674a7f6fd84b74350dc7a6de80f7431b6d02d0739f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-08T00:38:50Z",
    "title_canon_sha256": "aedba90f7fdf91305652f916badceda6bca03f95ed1e84b9f555db56d1f507a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02888",
    "kind": "arxiv",
    "version": 2
  }
}