Pith Number

pith:V7Y3RUCN

pith:2019:V7Y3RUCN2V3DJL3OED3G5DQL4U

not attested not anchored not stored refs pending

On the simulation of the Hawkes process via Lambert-W functions

Martin Magris

arxiv:1907.09162 v1 · 2019-07-22 · econ.EM · math.PR · stat.CO · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7Y3RUCN2V3DJL3OED3G5DQL4U}

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	2026-05-17T23:39:59.964241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff1b8d04dd57634af6e20f66e8e0be52346a9b52a120ae35507c13849fa7673

Aliases

arxiv: 1907.09162 · arxiv_version: 1907.09162v1 · doi: 10.48550/arxiv.1907.09162 · pith_short_12: V7Y3RUCN2V3D · pith_short_16: V7Y3RUCN2V3DJL3O · pith_short_8: V7Y3RUCN

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/V7Y3RUCN2V3DJL3OED3G5DQL4U \
  | 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: aff1b8d04dd57634af6e20f66e8e0be52346a9b52a120ae35507c13849fa7673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26598396eaba462722fe1c6d70745bfa1966de1aeab4493df5a93a49ceefce7",
    "cross_cats_sorted": [
      "math.PR",
      "stat.CO",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2019-07-22T07:28:22Z",
    "title_canon_sha256": "41102c91311ac3beaac80a2eab08519cd7f7eb2be0f994513288d4180fd59c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09162",
    "kind": "arxiv",
    "version": 1
  }
}