Pith Number

pith:4W7GNWSY

pith:2019:4W7GNWSYY6RESE3PE7BRMHVCMK

not attested not anchored not stored refs pending

Re-expansions on compact Lie groups

Elijah Liflyand, Michael Ruzhansky, Rauan Akylzhanov

arxiv:1902.06077 v1 · 2019-02-16 · math.CA · 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{4W7GNWSYY6RESE3PE7BRMHVCMK}

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	2026-05-17T23:53:46.645674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5be66da58c7a249136f27c3161ea262981ae2711b22eec8d92e552e5d04fb20

Aliases

arxiv: 1902.06077 · arxiv_version: 1902.06077v1 · doi: 10.48550/arxiv.1902.06077 · pith_short_12: 4W7GNWSYY6RE · pith_short_16: 4W7GNWSYY6RESE3P · pith_short_8: 4W7GNWSY

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/4W7GNWSYY6RESE3PE7BRMHVCMK \
  | 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: e5be66da58c7a249136f27c3161ea262981ae2711b22eec8d92e552e5d04fb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a49c6fbd9d9c1dea3a134f4538d6f2b19b70189d6c228db1783ad348d8e5d5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-16T09:46:46Z",
    "title_canon_sha256": "91b1efbaf03b0b52e8209de25de1d6dcb71d50ea300ae9c7d88e5e7c7456b0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06077",
    "kind": "arxiv",
    "version": 1
  }
}