Pith Number

pith:XFTHVYAB

pith:2018:XFTHVYABMDNO3UQFMRXD3MWOHF

not attested not anchored not stored refs pending

Scaling Limits for Crump-Mode-Jagers Processes with Immigration via Stochastic Volterra Equations

Wei Xu

arxiv:1809.05931 v3 · 2018-09-16 · 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{XFTHVYABMDNO3UQFMRXD3MWOHF}

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.

Cited by

1 paper in Pith

Functional Limit Theorems for Marked Hawkes Point Measures

Receipt and verification

First computed	2026-05-18T00:00:12.872883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9667ae00160daedd205646e3db2ce3972ec8080f313e5ecb4358eb3cf1c8013

Aliases

arxiv: 1809.05931 · arxiv_version: 1809.05931v3 · doi: 10.48550/arxiv.1809.05931 · pith_short_12: XFTHVYABMDNO · pith_short_16: XFTHVYABMDNO3UQF · pith_short_8: XFTHVYAB

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/XFTHVYABMDNO3UQFMRXD3MWOHF \
  | 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: b9667ae00160daedd205646e3db2ce3972ec8080f313e5ecb4358eb3cf1c8013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d433cd523a21fa5b3627d72a2e838b4584440076796cb4d84f32e8ded14ec84c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-16T18:35:57Z",
    "title_canon_sha256": "f422063de4d0ca73eb6f63280cd0fca77558715fa040fd6ea3b4210af82e0298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05931",
    "kind": "arxiv",
    "version": 3
  }
}