Pith Number

pith:DIAXZUK4

pith:2012:DIAXZUK4W2UTAK2AYGKLSX3IPM

not attested not anchored not stored refs pending

An ergodic theorem for non-invariant measures

Fernando Moreira, Maria Carvalho

arxiv:1203.6000 v1 · 2012-03-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIAXZUK4W2UTAK2AYGKLSX3IPM}

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	2026-05-18T03:59:12.779623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a017cd15cb6a9302b40c194b95f687b2ac4c1194b8ae052efe619281ec5654e

Aliases

arxiv: 1203.6000 · arxiv_version: 1203.6000v1 · doi: 10.48550/arxiv.1203.6000 · pith_short_12: DIAXZUK4W2UT · pith_short_16: DIAXZUK4W2UTAK2A · pith_short_8: DIAXZUK4

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/DIAXZUK4W2UTAK2AYGKLSX3IPM \
  | 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: 1a017cd15cb6a9302b40c194b95f687b2ac4c1194b8ae052efe619281ec5654e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8e097ff543ea7a8d9f3510efdcbcac2f62966d3c37b3a324da53f12b22f747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-27T15:23:25Z",
    "title_canon_sha256": "28896d05c8e679e2a1f410a2b17a83788a4d5a52e876520d944e681471d035de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6000",
    "kind": "arxiv",
    "version": 1
  }
}