Pith Number

pith:SSC55T6L

pith:2015:SSC55T6LRZL4US2TNUKNFMWKZS

not attested not anchored not stored refs pending

Interactions between Ehrenfest's urns arising from group actions

Hiroshi Mizukawa

arxiv:1509.07248 v2 · 2015-09-24 · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSC55T6LRZL4US2TNUKNFMWKZS}

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	2026-05-18T01:22:50.417254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9485decfcb8e57ca4b536d14d2b2cacc983288ca8cd1ac448f9dd50dfc95ebea

Aliases

arxiv: 1509.07248 · arxiv_version: 1509.07248v2 · doi: 10.48550/arxiv.1509.07248 · pith_short_12: SSC55T6LRZL4 · pith_short_16: SSC55T6LRZL4US2T · pith_short_8: SSC55T6L

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/SSC55T6LRZL4US2TNUKNFMWKZS \
  | 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: 9485decfcb8e57ca4b536d14d2b2cacc983288ca8cd1ac448f9dd50dfc95ebea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f4bcca00d07ea86910e2d16cbf82788e2b0ebbd119367a4892dd561dc2eb5e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-24T06:06:21Z",
    "title_canon_sha256": "6acc28622e1807ee6c23f8a256c49154ec3670de12a64d1c6df9f16e20ef82c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07248",
    "kind": "arxiv",
    "version": 2
  }
}