Pith Number

pith:EFTUALW4

pith:2021:EFTUALW4EPLR7M6W6IKJBCA5LT

not attested not anchored not stored refs pending

Factorisation in stopping-time Banach spaces: identifying unique maximal ideals

Richard Lechner, Tomasz Kania

arxiv:2112.12534 v3 · 2021-12-23 · 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{EFTUALW4EPLR7M6W6IKJBCA5LT}

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	2026-07-05T04:51:39.367919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2167402edc23d71fb3d6f21490881d5cf63a09f052b9e4a796948f961c864bf2

Aliases

arxiv: 2112.12534 · arxiv_version: 2112.12534v3 · doi: 10.48550/arxiv.2112.12534 · pith_short_12: EFTUALW4EPLR · pith_short_16: EFTUALW4EPLR7M6W · pith_short_8: EFTUALW4

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/EFTUALW4EPLR7M6W6IKJBCA5LT \
  | 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: 2167402edc23d71fb3d6f21490881d5cf63a09f052b9e4a796948f961c864bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d26e13178c15a533d5260aad51840599fadd98cccd0b4e779be96dc666d095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-12-23T13:42:13Z",
    "title_canon_sha256": "353b89f9399a6fbc6a5f034b4b7ee53c954a43a9341e8775a8592b96b62c81d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12534",
    "kind": "arxiv",
    "version": 3
  }
}