Pith Number

pith:DSN45J2E

pith:2014:DSN45J2EEAZUQ3GTPCZ2EI6G6W

not attested not anchored not stored refs pending

Distributions that arise as derivatives of families of measures

Rodolfo Rios-Zertuche

arxiv:1408.3683 v4 · 2014-08-16 · math.PR · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSN45J2EEAZUQ3GTPCZ2EI6G6W}

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	2026-05-18T02:19:25.467014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9bcea7442033486cd378b3a223c6f59da829867638a0bd4b5edefa482a640b

Aliases

arxiv: 1408.3683 · arxiv_version: 1408.3683v4 · doi: 10.48550/arxiv.1408.3683 · pith_short_12: DSN45J2EEAZU · pith_short_16: DSN45J2EEAZUQ3GT · pith_short_8: DSN45J2E

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/DSN45J2EEAZUQ3GTPCZ2EI6G6W \
  | 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: 1c9bcea7442033486cd378b3a223c6f59da829867638a0bd4b5edefa482a640b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9295193b5df472e2b73b10d3c13ea48527e0b8def274e8292ddf45be4842eec",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-16T00:08:57Z",
    "title_canon_sha256": "23e7d812cc79f821f6261a3809ab89a2dc901c5e4d69882f5fa65e1d65b70704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3683",
    "kind": "arxiv",
    "version": 4
  }
}