Pith Number

pith:ACP64NUA

pith:2014:ACP64NUAIBYOFBPQCQQT7UBDST

not attested not anchored not stored refs pending

Stochastic monotonicity from an Eulerian viewpoint

Davide Gabrielli, Ida Germana Minelli

arxiv:1403.3855 v3 · 2014-03-15 · 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{ACP64NUAIBYOFBPQCQQT7UBDST}

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	2026-05-18T00:39:14.065456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009fee36804070e285f014213fd02394f4383cd0be308d932823abd2be121afb

Aliases

arxiv: 1403.3855 · arxiv_version: 1403.3855v3 · doi: 10.48550/arxiv.1403.3855 · pith_short_12: ACP64NUAIBYO · pith_short_16: ACP64NUAIBYOFBPQ · pith_short_8: ACP64NUA

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/ACP64NUAIBYOFBPQCQQT7UBDST \
  | 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: 009fee36804070e285f014213fd02394f4383cd0be308d932823abd2be121afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae4333cb6eb8b57f2e276baf58cb7e049c094f7f6e83bb9799213648d7aec5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-15T22:02:09Z",
    "title_canon_sha256": "07d026a69944b4c66b232d8949d109e09150c9e7bb08513a9093003a36c3a817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3855",
    "kind": "arxiv",
    "version": 3
  }
}