Pith Number

pith:MSIXGUKK

pith:2010:MSIXGUKKGUPB5AUWBDV6F4YGMZ

not attested not anchored not stored refs pending

Phasetype distributions, autoregressive processes and overshoot

S\"oren Christensen

arxiv:1008.0756 v1 · 2010-08-04 · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSIXGUKKGUPB5AUWBDV6F4YGMZ}

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	2026-05-18T03:56:36.501828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649173514a351e1e829608ebe2f30666575953dd0a7f7c04e5b00760de61d555

Aliases

arxiv: 1008.0756 · arxiv_version: 1008.0756v1 · doi: 10.48550/arxiv.1008.0756 · pith_short_12: MSIXGUKKGUPB · pith_short_16: MSIXGUKKGUPB5AUW · pith_short_8: MSIXGUKK

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/MSIXGUKKGUPB5AUWBDV6F4YGMZ \
  | 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: 649173514a351e1e829608ebe2f30666575953dd0a7f7c04e5b00760de61d555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91bbcf23c95007cce8474744319fe32021f000b06ba373c07352c5235eddfa3a",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-04T12:00:33Z",
    "title_canon_sha256": "5e5bf090d874f050cf76987bc693fee46cd15262455449b1ae91fb8be9fdbe3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0756",
    "kind": "arxiv",
    "version": 1
  }
}