Pith Number

pith:YZKTO62P

pith:2026:YZKTO62PT3Q236T4HJDN5LMLAC

not attested not anchored not stored refs pending

Plancherel Identities for unbounded subsets of $\mathbb R^d$

Dorin Ervin Dutkay, Piyali Chakraborty

arxiv:2606.27008 v1 · 2026-06-25 · 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{YZKTO62PT3Q236T4HJDN5LMLAC}

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	2026-06-26T01:16:06.915044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c655377b4f9ee1adfa7c3a46dead8b009c5c573f965eda596ef591c2be302f8e

Aliases

arxiv: 2606.27008 · arxiv_version: 2606.27008v1 · doi: 10.48550/arxiv.2606.27008 · pith_short_12: YZKTO62PT3Q2 · pith_short_16: YZKTO62PT3Q236T4 · pith_short_8: YZKTO62P

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/YZKTO62PT3Q236T4HJDN5LMLAC \
  | 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: c655377b4f9ee1adfa7c3a46dead8b009c5c573f965eda596ef591c2be302f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6309defc5847ee4621eeb0bf4bbbb9ca7a76e9efc68a772311f01a2c13823e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-25T13:23:58Z",
    "title_canon_sha256": "565e7abc99db9f11fc11c69c748038d7c47bcc31e368e175f5332f9344e6814e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27008",
    "kind": "arxiv",
    "version": 1
  }
}