Pith Number

pith:BAOGGVQ7

pith:2015:BAOGGVQ7IECRQI3UK4SG6TLCHZ

not attested not anchored not stored refs pending

Conditions for permanental processes to be unbounded

Jay Rosen, Michael B. Marcus

arxiv:1511.05172 v1 · 2015-11-16 · 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{BAOGGVQ7IECRQI3UK4SG6TLCHZ}

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	2026-05-18T01:26:49.884884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

081c63561f410518237457246f4d623e67d5775d4579d45231fc0d55b56af654

Aliases

arxiv: 1511.05172 · arxiv_version: 1511.05172v1 · doi: 10.48550/arxiv.1511.05172 · pith_short_12: BAOGGVQ7IECR · pith_short_16: BAOGGVQ7IECRQI3U · pith_short_8: BAOGGVQ7

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/BAOGGVQ7IECRQI3UK4SG6TLCHZ \
  | 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: 081c63561f410518237457246f4d623e67d5775d4579d45231fc0d55b56af654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29da46f916e1180528d2c2e87a2da6e632fc486350119fd60460b197e29e3ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-16T21:04:28Z",
    "title_canon_sha256": "c814213281914dffdd139c1c34730f1cf6d3236aa5b778d2ee6ceb9bea7c32bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05172",
    "kind": "arxiv",
    "version": 1
  }
}