Pith Number

pith:DVJ3ODVV

pith:2010:DVJ3ODVVUDLMB3OIUPREWF3OKP

not attested not anchored not stored refs pending

Permanental Processes

Hana Kogan, Jay Rosen, Michael B. Marcus

arxiv:1008.3522 v1 · 2010-08-20 · 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{DVJ3ODVVUDLMB3OIUPREWF3OKP}

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	2026-05-18T04:42:02.237951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d53b70eb5a0d6c0edc8a3e24b176e53fec89fded2eda35250dce3711712fdf0

Aliases

arxiv: 1008.3522 · arxiv_version: 1008.3522v1 · doi: 10.48550/arxiv.1008.3522 · pith_short_12: DVJ3ODVVUDLM · pith_short_16: DVJ3ODVVUDLMB3OI · pith_short_8: DVJ3ODVV

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/DVJ3ODVVUDLMB3OIUPREWF3OKP \
  | 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: 1d53b70eb5a0d6c0edc8a3e24b176e53fec89fded2eda35250dce3711712fdf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422e8c52f05b5417bf8ee402ddaab1c0c3ce5525ee15d7b1d3325aff7e6670dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-20T15:03:01Z",
    "title_canon_sha256": "da41509d3f60ed7dfc23c7da73ce144db7adf9225e2bc6dab5beac65d613e362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3522",
    "kind": "arxiv",
    "version": 1
  }
}