Pith Number

pith:Y4HU3U57

pith:2016:Y4HU3U5723FIIB4FAS2Q3RUJWY

not attested not anchored not stored refs pending

Biharmonic functions on the classical compact simple Lie groups

Andrea Ratto, Sigmundur Gudmundsson, Stefano Montaldo

arxiv:1608.08391 v1 · 2016-08-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4HU3U5723FIIB4FAS2Q3RUJWY}

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	2026-05-18T01:07:19.582940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70f4dd3bfd6ca84078504b50dc689b60df89afc75492a05da46561e1d90aa28

Aliases

arxiv: 1608.08391 · arxiv_version: 1608.08391v1 · doi: 10.48550/arxiv.1608.08391 · pith_short_12: Y4HU3U5723FI · pith_short_16: Y4HU3U5723FIIB4F · pith_short_8: Y4HU3U57

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/Y4HU3U5723FIIB4FAS2Q3RUJWY \
  | 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: c70f4dd3bfd6ca84078504b50dc689b60df89afc75492a05da46561e1d90aa28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671e9123df4f57c10d31e48d31357bd5522208ebc3be844dc3cc17cb8ba6bd8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-30T10:02:43Z",
    "title_canon_sha256": "0d67b7423a45a0fab27366c1e3f7c7c2e8570415b8c7437396e6c9854ab8d436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08391",
    "kind": "arxiv",
    "version": 1
  }
}