Pith Number

pith:PPOM4DRN

pith:2015:PPOM4DRNY6645IMWQVL5GOCT37

not attested not anchored not stored refs pending

Projections in $L^1(G)$; the unimodular case

Keith F. Taylor, Mahmood Alaghmandan, Mahya Ghandehari, Nico Spronk

arxiv:1510.09068 v1 · 2015-10-28 · math.RT · 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{PPOM4DRNY6645IMWQVL5GOCT37}

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	2026-05-18T01:28:23.291428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bdcce0e2dc7bdcea1968557d33853dfc7a100a6227caf17414a3df8b51bb70d

Aliases

arxiv: 1510.09068 · arxiv_version: 1510.09068v1 · doi: 10.48550/arxiv.1510.09068 · pith_short_12: PPOM4DRNY664 · pith_short_16: PPOM4DRNY6645IMW · pith_short_8: PPOM4DRN

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/PPOM4DRNY6645IMWQVL5GOCT37 \
  | 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: 7bdcce0e2dc7bdcea1968557d33853dfc7a100a6227caf17414a3df8b51bb70d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a5c610f40afbfbda09410a3cbc2b2c7f3bf19cf97d837a67e1c45bbb3c183e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-28T23:04:27Z",
    "title_canon_sha256": "918a0ee8494deb63581fa8f7209e94a40978e25e91ccf02a951f3b282c36bb1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09068",
    "kind": "arxiv",
    "version": 1
  }
}