Pith Number

pith:MI2P5VLS

pith:2010:MI2P5VLSH47XFC7A7RN3SNIXFK

not attested not anchored not stored refs pending

Stochastic order and attractiveness for particle systems with multiple births, deaths and jumps

Davide Borrello

arxiv:1003.3548 v3 · 2010-03-18 · 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{MI2P5VLSH47XFC7A7RN3SNIXFK}

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	2026-05-18T04:28:20.353518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6234fed5723f3f728be0fc5bb935172ab9420d472bc2230a567bfb29ef211704

Aliases

arxiv: 1003.3548 · arxiv_version: 1003.3548v3 · doi: 10.48550/arxiv.1003.3548 · pith_short_12: MI2P5VLSH47X · pith_short_16: MI2P5VLSH47XFC7A · pith_short_8: MI2P5VLS

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/MI2P5VLSH47XFC7A7RN3SNIXFK \
  | 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: 6234fed5723f3f728be0fc5bb935172ab9420d472bc2230a567bfb29ef211704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba1ceb6f87752c866432fc33cccb9e0a1a541450086b6dd0b76bf092fc16b77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-18T10:55:55Z",
    "title_canon_sha256": "86bf9b1dc1a5dd7178d804c21a7cf8cbef3531ae955591c473bf218d2e364635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3548",
    "kind": "arxiv",
    "version": 3
  }
}