Pith Number

pith:4PMFDONX

pith:2016:4PMFDONX3VKSY2UILMZ7CEVGCW

not attested not anchored not stored refs pending

Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields

Alexander I. Bufetov, Yanqi Qiu

arxiv:1605.09600 v1 · 2016-05-31 · math.DS · math.CO · math.NT · math.PR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PMFDONX3VKSY2UILMZ7CEVGCW}

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	2026-05-17T23:53:13.142685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d851b9b7dd552c6a885b33f112a6159e82007076539aa2c84fd6e0d7a26e99

Aliases

arxiv: 1605.09600 · arxiv_version: 1605.09600v1 · doi: 10.48550/arxiv.1605.09600 · pith_short_12: 4PMFDONX3VKS · pith_short_16: 4PMFDONX3VKSY2UI · pith_short_8: 4PMFDONX

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/4PMFDONX3VKSY2UILMZ7CEVGCW \
  | 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: e3d851b9b7dd552c6a885b33f112a6159e82007076539aa2c84fd6e0d7a26e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11be62808c4e1f1195e5fae29d62eb2f69ce5c045ae68d1ee7313b7c5f00fd04",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT",
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-31T12:34:02Z",
    "title_canon_sha256": "38722cfdd369d3f636e76331b595ff0701c3e9e6ffa1b43c9e4c65a367134c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09600",
    "kind": "arxiv",
    "version": 1
  }
}