Pith Number

pith:RJT3VZTC

pith:2018:RJT3VZTC3RZ52MKCE3P56AMUDT

not attested not anchored not stored refs pending

Permanental processes with kernels that are not equivalent to a symmetric matrix

Jay Rosen, Michael B. Marcus

arxiv:1802.07812 v1 · 2018-02-21 · 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{RJT3VZTC3RZ52MKCE3P56AMUDT}

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	2026-05-18T00:22:48.824979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a67bae662dc73dd314226dfdf01941cf2b5ed873bbe70463283d2e362bd7362

Aliases

arxiv: 1802.07812 · arxiv_version: 1802.07812v1 · doi: 10.48550/arxiv.1802.07812 · pith_short_12: RJT3VZTC3RZ5 · pith_short_16: RJT3VZTC3RZ52MKC · pith_short_8: RJT3VZTC

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/RJT3VZTC3RZ52MKCE3P56AMUDT \
  | 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: 8a67bae662dc73dd314226dfdf01941cf2b5ed873bbe70463283d2e362bd7362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb72e188f035e3ab911169260baf37aed0cf183d00c7891e7d6481569d247ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-21T21:15:21Z",
    "title_canon_sha256": "79578ce4dbd903b299bdecd9629add836373f963e83bbe495e713a89ca68eb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07812",
    "kind": "arxiv",
    "version": 1
  }
}