Pith Number

pith:KOKU63LX

pith:2015:KOKU63LXFQFTZAQ2OLUIDOIYUF

not attested not anchored not stored refs pending

On the global Gaussian Lipschitz space

Liguang Liu, Peter Sj\"ogren

arxiv:1504.03554 v1 · 2015-04-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOKU63LXFQFTZAQ2OLUIDOIYUF}

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	2026-05-18T02:18:50.574844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53954f6d772c0b3c821a72e881b918a15f2f6b5703b9b648abcb10e372e46b4b

Aliases

arxiv: 1504.03554 · arxiv_version: 1504.03554v1 · doi: 10.48550/arxiv.1504.03554 · pith_short_12: KOKU63LXFQFT · pith_short_16: KOKU63LXFQFTZAQ2 · pith_short_8: KOKU63LX

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/KOKU63LXFQFTZAQ2OLUIDOIYUF \
  | 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: 53954f6d772c0b3c821a72e881b918a15f2f6b5703b9b648abcb10e372e46b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370a95301effd56068d9398224ee3f824933e79fc139161107262fc02f0c519b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-14T14:16:04Z",
    "title_canon_sha256": "b506b222c079f20716a4cebe37633d3a025f0999c13cb771d5460cfed34e3a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03554",
    "kind": "arxiv",
    "version": 1
  }
}