Pith Number

pith:XZO2A2JU

pith:2025:XZO2A2JUXQHNNRA7BVRCYUSYHR

not attested not anchored not stored refs pending

Localization of operator-valued frames

Lukas K\"ohldorfer, Peter Balazs

arxiv:2503.24170 v2 · 2025-03-31 · 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{XZO2A2JUXQHNNRA7BVRCYUSYHR}

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.

Cited by

1 paper in Pith

Localized frames without inequalities

Receipt and verification

First computed	2026-07-05T11:11:21.949743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5da06934bc0ed6c41f0d622c52583c5de6708e6651fc34bbb1c9e457e12b88

Aliases

arxiv: 2503.24170 · arxiv_version: 2503.24170v2 · doi: 10.48550/arxiv.2503.24170 · pith_short_12: XZO2A2JUXQHN · pith_short_16: XZO2A2JUXQHNNRA7 · pith_short_8: XZO2A2JU

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/XZO2A2JUXQHNNRA7BVRCYUSYHR \
  | 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: be5da06934bc0ed6c41f0d622c52583c5de6708e6651fc34bbb1c9e457e12b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdc70235470e2f30d8847923867be76caec5fefafbac433112235c97616337e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-03-31T14:49:54Z",
    "title_canon_sha256": "883d21b1ac93686780941d2b3605852215c16e55ceeca7f41d7cf656a4fc40e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.24170",
    "kind": "arxiv",
    "version": 2
  }
}