Pith Number

pith:4S4ENMBP

pith:2000:4S4ENMBP66JPILLLTOOP2ICLYR

not attested not anchored not stored refs pending

Hua type integrals over unitary groups and over projective limits of unitary groups

Yurii A. Neretin

arxiv:math-ph/0010014 v2 · 2000-10-11 · math-ph · math.FA · math.MP · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S4ENMBP66JPILLLTOOP2ICLYR}

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	2026-05-18T03:36:27.387173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b846b02ff792f42d6b9b9cfd204bc45487fdba073a17125beb93ecf200f75c

Aliases

arxiv: math-ph/0010014 · arxiv_version: math-ph/0010014v2 · doi: 10.48550/arxiv.math-ph/0010014 · pith_short_12: 4S4ENMBP66JP · pith_short_16: 4S4ENMBP66JPILLL · pith_short_8: 4S4ENMBP

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/4S4ENMBP66JPILLLTOOP2ICLYR \
  | 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: e4b846b02ff792f42d6b9b9cfd204bc45487fdba073a17125beb93ecf200f75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4136b205c0456523003db352737e5679c7750c506cd24e79643723a08dbf8cb",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.PR",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-10-11T18:26:07Z",
    "title_canon_sha256": "430b64a007178550d0991957867c21f90f75d63c160b8581fca21a835b9aa0ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0010014",
    "kind": "arxiv",
    "version": 2
  }
}