Pith Number

pith:FPABPSPY

pith:2019:FPABPSPYQ33UXNEF77SQVZMMCV

not attested not anchored not stored refs pending

Ergodic branching diffusions with immigration: properties of invariant occupation measure, identification of particles under high-frequency observation, and estimation of the diffusion coefficient at nonparametric rates

Matthias Hammer, Reinhard H\"opfner, Tobias Berg

arxiv:1905.02656 v1 · 2019-05-07 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPABPSPYQ33UXNEF77SQVZMMCV}

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	2026-05-17T23:46:50.792860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc017c9f886f74bb485ffe50ae58c1561ec280a9e19336152cc83bc34750886

Aliases

arxiv: 1905.02656 · arxiv_version: 1905.02656v1 · doi: 10.48550/arxiv.1905.02656 · pith_short_12: FPABPSPYQ33U · pith_short_16: FPABPSPYQ33UXNEF · pith_short_8: FPABPSPY

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/FPABPSPYQ33UXNEF77SQVZMMCV \
  | 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: 2bc017c9f886f74bb485ffe50ae58c1561ec280a9e19336152cc83bc34750886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3e809a98a33de4985685fb64bf0a0a81ee1c64254559145ed48e8de7010b96",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-07T16:02:18Z",
    "title_canon_sha256": "b6374808342171521d48429b0995c763983b088253e7085acb75d47ee4b76b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02656",
    "kind": "arxiv",
    "version": 1
  }
}