Pith Number

pith:IWBBDM6J

pith:2014:IWBBDM6JECYZTFW6OK6KVGQFKL

not attested not anchored not stored refs pending

Lebesgue decomposition for representable functionals on $^*$-algebras

Zsigmond Tarcsay

arxiv:1406.6156 v1 · 2014-06-24 · 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{IWBBDM6JECYZTFW6OK6KVGQFKL}

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	2026-05-18T02:49:03.979696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

458211b3c920b19996de72bcaa9a0552fafe146f010cb5641bc2c340ce02124b

Aliases

arxiv: 1406.6156 · arxiv_version: 1406.6156v1 · doi: 10.48550/arxiv.1406.6156 · pith_short_12: IWBBDM6JECYZ · pith_short_16: IWBBDM6JECYZTFW6 · pith_short_8: IWBBDM6J

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/IWBBDM6JECYZTFW6OK6KVGQFKL \
  | 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: 458211b3c920b19996de72bcaa9a0552fafe146f010cb5641bc2c340ce02124b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6eb567c155da9b79ab14f21c0afb2dd310af3e8ac97c780d3edfac7767ca1d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-06-24T07:37:43Z",
    "title_canon_sha256": "01eed24748fdb765b6be2b27eb2ed5944ddf07a028e601de2d138224cfbee13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6156",
    "kind": "arxiv",
    "version": 1
  }
}