Pith Number

pith:2XGAPHZZ

pith:2015:2XGAPHZZA5HMENXT3YNJSP5WSH

not attested not anchored not stored refs pending

The CLT Analogue for Cyclic Urns

Noela S. M\"uller, Ralph Neininger

arxiv:1507.08119 v1 · 2015-07-29 · math.PR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XGAPHZZA5HMENXT3YNJSP5WSH}

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	2026-05-18T01:36:08.283669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5cc079f39074ec236f3de1a993fb691c9306ded9ab75d6565c8738b546a8c09

Aliases

arxiv: 1507.08119 · arxiv_version: 1507.08119v1 · doi: 10.48550/arxiv.1507.08119 · pith_short_12: 2XGAPHZZA5HM · pith_short_16: 2XGAPHZZA5HMENXT · pith_short_8: 2XGAPHZZ

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/2XGAPHZZA5HMENXT3YNJSP5WSH \
  | 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: d5cc079f39074ec236f3de1a993fb691c9306ded9ab75d6565c8738b546a8c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31f143dd26770664c73ce0082c436cb891f1cc72929934a39ae9d9fc5f0e41d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-29T12:43:09Z",
    "title_canon_sha256": "6b247e1c6b1d92101b60ebd90f7d05240e60d929afea68eff506963ad7b8457d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08119",
    "kind": "arxiv",
    "version": 1
  }
}