Pith Number

pith:TH3IGSVO

pith:2015:TH3IGSVOWPULCQZVJX6HR5KHME

not attested not anchored not stored refs pending

Boundary multipliers of a family of M\"obius invariant function spaces

Guanlong Bao, Jordi Pau

arxiv:1504.04338 v1 · 2015-04-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TH3IGSVOWPULCQZVJX6HR5KHME}

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	2026-05-18T02:18:33.417474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f6834aaeb3e8b143354dfc78f5476120727b2da11e30e00828f095c6f8a5cb

Aliases

arxiv: 1504.04338 · arxiv_version: 1504.04338v1 · doi: 10.48550/arxiv.1504.04338 · pith_short_12: TH3IGSVOWPUL · pith_short_16: TH3IGSVOWPULCQZV · pith_short_8: TH3IGSVO

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/TH3IGSVOWPULCQZVJX6HR5KHME \
  | 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: 99f6834aaeb3e8b143354dfc78f5476120727b2da11e30e00828f095c6f8a5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699c8a60e4fd63496bb79a66315e8fb65a43ff75efed0b0c7ec581b894604ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-04-16T18:57:59Z",
    "title_canon_sha256": "8954e76128a1ac62104088525da416b56449998e1fc403b1ec223f0408387e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04338",
    "kind": "arxiv",
    "version": 1
  }
}