Pith Number

pith:ASUP6U66

pith:2019:ASUP6U66HBGJN525JF76MP4MG2

not attested not anchored not stored refs pending

Asymptotic properties of permanental sequences

Jay Rosen, Michael B. Marcus

arxiv:1908.04155 v1 · 2019-08-12 · 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{ASUP6U66HBGJN525JF76MP4MG2}

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	2026-07-04T23:53:21.151863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a8ff53de384c96f75d497fe63f8c36904b36b07b9a4123273a57329a1fcc78

Aliases

arxiv: 1908.04155 · arxiv_version: 1908.04155v1 · doi: 10.48550/arxiv.1908.04155 · pith_short_12: ASUP6U66HBGJ · pith_short_16: ASUP6U66HBGJN525 · pith_short_8: ASUP6U66

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/ASUP6U66HBGJN525JF76MP4MG2 \
  | 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: 04a8ff53de384c96f75d497fe63f8c36904b36b07b9a4123273a57329a1fcc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb67eb45968f8ce49b4a6cc77fe16238d9253ecfde18daec9d535b135e3e086b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-12T14:00:02Z",
    "title_canon_sha256": "66e60b4a2e30206e481d391146a1d3df2cb67a17c6df3b68295a2001623a90bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04155",
    "kind": "arxiv",
    "version": 1
  }
}