Pith Number

pith:V4MS7KF5

pith:2016:V4MS7KF5W5UGI2OEICM2FMUW5J

not attested not anchored not stored refs pending

On sensitivity of uniform mixing times

Jonathan Hermon

arxiv:1607.01672 v3 · 2016-07-06 · 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{V4MS7KF5W5UGI2OEICM2FMUW5J}

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	2026-05-18T00:22:40.441747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af192fa8bdb7686469c44099a2b296ea79656a77fc904ff246dba6f63dc60e02

Aliases

arxiv: 1607.01672 · arxiv_version: 1607.01672v3 · doi: 10.48550/arxiv.1607.01672 · pith_short_12: V4MS7KF5W5UG · pith_short_16: V4MS7KF5W5UGI2OE · pith_short_8: V4MS7KF5

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/V4MS7KF5W5UGI2OEICM2FMUW5J \
  | 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: af192fa8bdb7686469c44099a2b296ea79656a77fc904ff246dba6f63dc60e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06392ef9880ae1af4564eedb2a11edc1e4887fb25b73d085676d62efc6532e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-06T15:30:29Z",
    "title_canon_sha256": "4c451191e984b420e9c792c9a1f904f91385b2436bee57b9c5ce2dc887609470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01672",
    "kind": "arxiv",
    "version": 3
  }
}