Pith Number

pith:5CHLLOJ7

pith:2009:5CHLLOJ7ENJUNPGISHRMNRE6YP

not attested not anchored not stored refs pending

Group representations with empty residual spectrum

Yemon Choi

arxiv:0906.2854 v3 · 2009-06-16 · 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{5CHLLOJ7ENJUNPGISHRMNRE6YP}

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	2026-05-18T04:31:12.096911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88eb5b93f235346bcc891e2c6c49ec3f71847575a72d92ef18f9936ffaf0edc

Aliases

arxiv: 0906.2854 · arxiv_version: 0906.2854v3 · doi: 10.48550/arxiv.0906.2854 · pith_short_12: 5CHLLOJ7ENJU · pith_short_16: 5CHLLOJ7ENJUNPGI · pith_short_8: 5CHLLOJ7

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/5CHLLOJ7ENJUNPGISHRMNRE6YP \
  | 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: e88eb5b93f235346bcc891e2c6c49ec3f71847575a72d92ef18f9936ffaf0edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded36f3ee99a23dad416e22444964a31f3a3561609e2f8a2bab46e302cebd74e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-06-16T19:40:48Z",
    "title_canon_sha256": "7995d6218d513bfc78ebdabcc871775693f6540d356b26a9fe0c9328fe4749fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2854",
    "kind": "arxiv",
    "version": 3
  }
}