Pith Number

pith:2L4T6PZK

pith:2016:2L4T6PZKCZT746MJFPROBQ3I6Z

not attested not anchored not stored refs pending

A characterization of $L_{2}$ mixing and hypercontractivity via hitting times and maximal inequalities

Jonathan Hermon, Yuval Peres

arxiv:1609.07557 v3 · 2016-09-24 · 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{2L4T6PZKCZT746MJFPROBQ3I6Z}

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	2026-05-18T00:25:29.318804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f93f3f2a1667fe79892be2e0c368f6462909c7e6269f63ebdd9a4519451a11

Aliases

arxiv: 1609.07557 · arxiv_version: 1609.07557v3 · doi: 10.48550/arxiv.1609.07557 · pith_short_12: 2L4T6PZKCZT7 · pith_short_16: 2L4T6PZKCZT746MJ · pith_short_8: 2L4T6PZK

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/2L4T6PZKCZT746MJFPROBQ3I6Z \
  | 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: d2f93f3f2a1667fe79892be2e0c368f6462909c7e6269f63ebdd9a4519451a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d7fd5458fd542d9bd6047d5f7d147cb9fe52bf741dff2d366e7475c8d47282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-24T02:50:03Z",
    "title_canon_sha256": "ef88d052d2ebdb2a57a5f13371406c48c0c731982ac4a3959d38e126f3d5325a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07557",
    "kind": "arxiv",
    "version": 3
  }
}