Pith Number

pith:HOFA5IYT

pith:2017:HOFA5IYT6TWMI4BMQDCDUFNMAR

not attested not anchored not stored refs pending

An exponential limit shape of random $q$-proportion Bulgarian solitaire

Kimmo Eriksson, Markus Jonsson abd Jonas Sj\"ostrand

arxiv:1703.07102 v1 · 2017-03-21 · 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{HOFA5IYT6TWMI4BMQDCDUFNMAR}

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	2026-05-18T00:48:11.329637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8a0ea313f4ecc4702c80c43a15ac046a430f6faece7fde6accc499117f61e1

Aliases

arxiv: 1703.07102 · arxiv_version: 1703.07102v1 · doi: 10.48550/arxiv.1703.07102 · pith_short_12: HOFA5IYT6TWM · pith_short_16: HOFA5IYT6TWMI4BM · pith_short_8: HOFA5IYT

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/HOFA5IYT6TWMI4BMQDCDUFNMAR \
  | 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: 3b8a0ea313f4ecc4702c80c43a15ac046a430f6faece7fde6accc499117f61e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec404ae82d8907291a62e09714cf502ec59f459cff12758656c45084cdddce76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-21T09:25:36Z",
    "title_canon_sha256": "185ea9824b2c98f88c6c333c04fca7c7c17a9c68a0fcd6dd976a0fff3c818115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07102",
    "kind": "arxiv",
    "version": 1
  }
}