Pith Number

pith:MS7TOZVB

pith:2014:MS7TOZVB3MC52FNB5TMKIQXTFM

not attested not anchored not stored refs pending

Cluster sets for partial sums and partial sum processes

Jim Kuelbs, Uwe Einmahl

arxiv:1403.6971 v1 · 2014-03-27 · 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{MS7TOZVB3MC52FNB5TMKIQXTFM}

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	2026-05-18T02:55:26.774991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64bf3766a1db05dd15a1ecd8a442f32b0b71491d97551628b275294ea8d77812

Aliases

arxiv: 1403.6971 · arxiv_version: 1403.6971v1 · doi: 10.48550/arxiv.1403.6971 · pith_short_12: MS7TOZVB3MC5 · pith_short_16: MS7TOZVB3MC52FNB · pith_short_8: MS7TOZVB

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/MS7TOZVB3MC52FNB5TMKIQXTFM \
  | 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: 64bf3766a1db05dd15a1ecd8a442f32b0b71491d97551628b275294ea8d77812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105c4bed24b28c24eb35a103d0e66ab6d0703e6dd5c31ad100786f9516b87705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-27T10:31:19Z",
    "title_canon_sha256": "e4d0879dea16260a4358e7b7c1d81fa7513775d24f20f315bcf373fa17f147f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6971",
    "kind": "arxiv",
    "version": 1
  }
}