Pith Number

pith:VVNRSEUO

pith:2013:VVNRSEUOK2AXMPX46B5SI63I5X

not attested not anchored not stored refs pending

Exchangeable sequences driven by an absolutely continuous random measure

Luca Pratelli, Patrizia Berti, Pietro Rigo

arxiv:1307.2039 v1 · 2013-07-08 · 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{VVNRSEUOK2AXMPX46B5SI63I5X}

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	2026-05-18T03:19:02.673447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5b19128e5681763efcf07b247b68edda0e0957929c2d18719b7729758ddfe1

Aliases

arxiv: 1307.2039 · arxiv_version: 1307.2039v1 · doi: 10.48550/arxiv.1307.2039 · pith_short_12: VVNRSEUOK2AX · pith_short_16: VVNRSEUOK2AXMPX4 · pith_short_8: VVNRSEUO

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/VVNRSEUOK2AXMPX46B5SI63I5X \
  | 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: ad5b19128e5681763efcf07b247b68edda0e0957929c2d18719b7729758ddfe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c7da8065effda562d18b9a2adaf1c7dc42e11e8edeeda866a83e65a65263fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-08T11:20:00Z",
    "title_canon_sha256": "f1185e6475862573fd55b523c9c8a02966595d7a1c6545105f82fcf66cbf39fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2039",
    "kind": "arxiv",
    "version": 1
  }
}