Pith Number

pith:P7GWD57A

pith:2019:P7GWD57AB23BUHUQKHIKPPZHV5

not attested not anchored not stored refs pending

Fractional Immigration-Death Processes

Enrica Pirozzi, Giacomo Ascione, Nikolai Leonenko

arxiv:1907.07588 v1 · 2019-07-17 · 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{P7GWD57AB23BUHUQKHIKPPZHV5}

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	2026-05-17T23:40:21.648910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fcd61f7e00eb61a1e9051d0a7bf27af5e28cd38cfe99cc749a8e63fd47d9a46

Aliases

arxiv: 1907.07588 · arxiv_version: 1907.07588v1 · doi: 10.48550/arxiv.1907.07588 · pith_short_12: P7GWD57AB23B · pith_short_16: P7GWD57AB23BUHUQ · pith_short_8: P7GWD57A

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/P7GWD57AB23BUHUQKHIKPPZHV5 \
  | 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: 7fcd61f7e00eb61a1e9051d0a7bf27af5e28cd38cfe99cc749a8e63fd47d9a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c334842c0118e7541db26dd6ccc5332b41ebacbe0abc902cef46fd006cafe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-17T15:37:36Z",
    "title_canon_sha256": "c04b1d2b290aa094c1541e403b877fc08e4b8285316c4c5672ba805ad8aa96af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07588",
    "kind": "arxiv",
    "version": 1
  }
}