Pith Number

pith:4BAHX7I2

pith:2017:4BAHX7I23IRQ7RJ2FKRUVAJRMF

not attested not anchored not stored refs pending

Relaxation of monotone coupling conditions: Poisson approximation and beyond

Fraser Daly, Oliver Johnson

arxiv:1706.04064 v1 · 2017-06-13 · 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{4BAHX7I23IRQ7RJ2FKRUVAJRMF}

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	2026-05-17T23:55:23.310477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0407bfd1ada230fc53a2aa34a8131616110cd75b374acebf5677be9e365bf22

Aliases

arxiv: 1706.04064 · arxiv_version: 1706.04064v1 · doi: 10.48550/arxiv.1706.04064 · pith_short_12: 4BAHX7I23IRQ · pith_short_16: 4BAHX7I23IRQ7RJ2 · pith_short_8: 4BAHX7I2

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/4BAHX7I23IRQ7RJ2FKRUVAJRMF \
  | 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: e0407bfd1ada230fc53a2aa34a8131616110cd75b374acebf5677be9e365bf22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d087d49d557cc0d757ba901ad07038b626b1913c2a7a20f786d345308a87afd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-13T13:48:19Z",
    "title_canon_sha256": "eedac3a128e2e85480d98e4babdbd3ab0f807403ee53eb9e924f30cb8032fd70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04064",
    "kind": "arxiv",
    "version": 1
  }
}