Pith Number

pith:CFB2EZPG

pith:2025:CFB2EZPGMDE4TNCABOWZTMCM65

not attested not anchored not stored refs pending

Loglinear Hawkes processes

Jacek Jakubowski, Mariusz Niew\k{e}g{\l}owski, Matthias Kirchner, Tomasz R. Bielecki

arxiv:2507.11265 v1 · 2025-07-15 · 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{CFB2EZPGMDE4TNCABOWZTMCM65}

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	2026-07-05T11:37:35.894393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1143a265e660c9c9b4400bad99b04cf76e0576e6eeb29acc0d28d49e5e4b41b1

Aliases

arxiv: 2507.11265 · arxiv_version: 2507.11265v1 · doi: 10.48550/arxiv.2507.11265 · pith_short_12: CFB2EZPGMDE4 · pith_short_16: CFB2EZPGMDE4TNCA · pith_short_8: CFB2EZPG

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/CFB2EZPGMDE4TNCABOWZTMCM65 \
  | 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: 1143a265e660c9c9b4400bad99b04cf76e0576e6eeb29acc0d28d49e5e4b41b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c8471b5a04af51349fc0b63f3ac6f40f38ae9414bc4216250f17b53900fc3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-15T12:37:34Z",
    "title_canon_sha256": "20dc4f42795c81489876b05364fdb41133ba89f7dcb54ee688e0c6b915cb41cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11265",
    "kind": "arxiv",
    "version": 1
  }
}