Pith Number

pith:7RJOFETX

pith:2012:7RJOFETX5RZ6AKFMSRAZJ6ZR3C

not attested not anchored not stored refs pending

Limit Theorems for Marked Hawkes Processes with Application to a Risk Model

Dmytro Karabash, Lingjiong Zhu

arxiv:1211.4039 v3 · 2012-11-16 · 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{7RJOFETX5RZ6AKFMSRAZJ6ZR3C}

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	2026-05-18T01:33:17.037176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc52e29277ec73e028ac944194fb31d8943ce59d9d63f13a243aa8815c818855

Aliases

arxiv: 1211.4039 · arxiv_version: 1211.4039v3 · doi: 10.48550/arxiv.1211.4039 · pith_short_12: 7RJOFETX5RZ6 · pith_short_16: 7RJOFETX5RZ6AKFM · pith_short_8: 7RJOFETX

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/7RJOFETX5RZ6AKFMSRAZJ6ZR3C \
  | 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: fc52e29277ec73e028ac944194fb31d8943ce59d9d63f13a243aa8815c818855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a1df02002a6a845914e2c0c18e014041e85b961f8f756e1f5c790896d27992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-16T21:16:13Z",
    "title_canon_sha256": "393c811fa1aa4f3c5f3104fc5440a310bb6aa14f90c3dcd9659437aa094ad41f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4039",
    "kind": "arxiv",
    "version": 3
  }
}