Pith Number

pith:4MH7CZ3U

pith:2013:4MH7CZ3UK5AUVU7X7DVATGXH2B

not attested not anchored not stored refs pending

Relations Between Stochastic Orderings and generalized Stochastic Precedence

Emilio De Santis, Fabio Fantozzi, Fabio Spizzichino

arxiv:1307.7546 v2 · 2013-07-29 · 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{4MH7CZ3UK5AUVU7X7DVATGXH2B}

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	2026-05-18T01:46:39.176730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30ff1677457414ad3f7f8ea099ae7d05dc3f8b50f440b0c422ef5456c8dc5be

Aliases

arxiv: 1307.7546 · arxiv_version: 1307.7546v2 · doi: 10.48550/arxiv.1307.7546 · pith_short_12: 4MH7CZ3UK5AU · pith_short_16: 4MH7CZ3UK5AUVU7X · pith_short_8: 4MH7CZ3U

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/4MH7CZ3UK5AUVU7X7DVATGXH2B \
  | 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: e30ff1677457414ad3f7f8ea099ae7d05dc3f8b50f440b0c422ef5456c8dc5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d7696752d7597ca66bd6479b4dd4b3e74892ba3f5123f6f9862b3a540c2fde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-29T11:27:39Z",
    "title_canon_sha256": "e1d39606e1deb2bd7db4dcb4f5cc554d212fa92291a024dbd04dc5a489ac8d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7546",
    "kind": "arxiv",
    "version": 2
  }
}