Pith Number

pith:X7RH3Q3Z

pith:2014:X7RH3Q3ZMLR6VXRTEC4GIODCEU

not attested not anchored not stored refs pending

Ergodic theorems in fully symmetric spaces of $\tau-$measurable operators

Semyon Litvinov, Vladimir Chilin

arxiv:1410.1451 v2 · 2014-10-06 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7RH3Q3ZMLR6VXRTEC4GIODCEU}

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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	2026-05-18T02:27:44.187215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe27dc37962e3eade3320b86438622529389a6bbd4d056715bdee2a1624b086

Aliases

arxiv: 1410.1451 · arxiv_version: 1410.1451v2 · doi: 10.48550/arxiv.1410.1451 · pith_short_12: X7RH3Q3ZMLR6 · pith_short_16: X7RH3Q3ZMLR6VXRT · pith_short_8: X7RH3Q3Z

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/X7RH3Q3ZMLR6VXRTEC4GIODCEU \
  | 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: bfe27dc37962e3eade3320b86438622529389a6bbd4d056715bdee2a1624b086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b0ca05dad38189fdec13c998cca913a77cb4bed589e3f4129919137110f072",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-10-06T16:51:26Z",
    "title_canon_sha256": "43b83b6a88dc0f967fad94001136359d4a42045601da253d2bb68dfbf8d0c2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1451",
    "kind": "arxiv",
    "version": 2
  }
}