Pith Number

pith:J7JBAT47

pith:2014:J7JBAT475B73V5SZ5FH7XEKJLN

not attested not anchored not stored refs pending

Improved bounds for the mixing time of the random-to-random insertion shuffle

Ben Morris, Chuan Qin

arxiv:1412.0070 v1 · 2014-11-29 · 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{J7JBAT475B73V5SZ5FH7XEKJLN}

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	2026-05-18T02:32:31.431176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd2104f9fe87fbaf659e94ffb91495b69c15f9a3c68bdf79df6e93d803d0c9a

Aliases

arxiv: 1412.0070 · arxiv_version: 1412.0070v1 · doi: 10.48550/arxiv.1412.0070 · pith_short_12: J7JBAT475B73 · pith_short_16: J7JBAT475B73V5SZ · pith_short_8: J7JBAT47

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/J7JBAT475B73V5SZ5FH7XEKJLN \
  | 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: 4fd2104f9fe87fbaf659e94ffb91495b69c15f9a3c68bdf79df6e93d803d0c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d70b7f15ded03287f5bd42c03089f35801b15e71eaa253286e3f71c43735cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-29T04:37:16Z",
    "title_canon_sha256": "9a44bc34c8cb50b16cf3f232bec981a539a2b4385fd60e00384a1bb4b09d8d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0070",
    "kind": "arxiv",
    "version": 1
  }
}