Pith Number

pith:642IM54J

pith:2017:642IM54JYBHAXKYEQTVHW7OUKO

not attested not anchored not stored refs pending

Centers of probability measures without the mean

Bin Wang, Giovanni Puccetti, Pietro Rigo, Ruodu Wang

arxiv:1704.02660 v2 · 2017-04-09 · 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{642IM54JYBHAXKYEQTVHW7OUKO}

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	2026-05-18T00:45:58.095516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f734867789c04e0bab0484ea7b7dd453b8b0c6b38c3a6f371da5cd115ac2d0b3

Aliases

arxiv: 1704.02660 · arxiv_version: 1704.02660v2 · doi: 10.48550/arxiv.1704.02660 · pith_short_12: 642IM54JYBHA · pith_short_16: 642IM54JYBHAXKYE · pith_short_8: 642IM54J

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/642IM54JYBHAXKYEQTVHW7OUKO \
  | 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: f734867789c04e0bab0484ea7b7dd453b8b0c6b38c3a6f371da5cd115ac2d0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43cbce0029d65063f55be3111448db83b93578f8275a872e36bd35f24935f99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-09T20:57:01Z",
    "title_canon_sha256": "2d00e987e1fc67274fb9665115ea22bec55b12faba79e27fa5655fbfa25cace6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02660",
    "kind": "arxiv",
    "version": 2
  }
}