Pith Number

pith:UDJCCHGI

pith:2016:UDJCCHGIX5RHKXKS6NNW6DAVOB

not attested not anchored not stored refs pending

Concentration and limit behaviors of stationary measures

Min Ji, Wen Huang, Yingfei Yi, Zhenxin Liu

arxiv:1607.06177 v1 · 2016-07-21 · math.DS · 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{UDJCCHGIX5RHKXKS6NNW6DAVOB}

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	2026-05-18T01:10:42.334830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d2211cc8bf62755d52f35b6f0c15707eba9a4e4d673d01ac16f52a85a3672b

Aliases

arxiv: 1607.06177 · arxiv_version: 1607.06177v1 · doi: 10.48550/arxiv.1607.06177 · pith_short_12: UDJCCHGIX5RH · pith_short_16: UDJCCHGIX5RHKXKS · pith_short_8: UDJCCHGI

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/UDJCCHGIX5RHKXKS6NNW6DAVOB \
  | 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: a0d2211cc8bf62755d52f35b6f0c15707eba9a4e4d673d01ac16f52a85a3672b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5225e6f35380b16680e66856e1de713191b1b055bcc896010bc7ab22eb2bfd18",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-21T03:02:15Z",
    "title_canon_sha256": "883b5467424cc1f7e29a892bbd187fccfb38a6bab2f048092bf697db1d2d9406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06177",
    "kind": "arxiv",
    "version": 1
  }
}