Pith Number

pith:3PUR36UH

pith:2016:3PUR36UHD2QLHQIPTTBN6A5KD2

not attested not anchored not stored refs pending

On a problem of Kahane in higher dimensions

James Wright

arxiv:1611.05398 v1 · 2016-11-16 · 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{3PUR36UHD2QLHQIPTTBN6A5KD2}

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	2026-05-18T00:58:27.191521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe91dfa871ea0b3c10f9cc2df03aa1eac4001e7e0ec8b87df6695c499ae52af

Aliases

arxiv: 1611.05398 · arxiv_version: 1611.05398v1 · doi: 10.48550/arxiv.1611.05398 · pith_short_12: 3PUR36UHD2QL · pith_short_16: 3PUR36UHD2QLHQIP · pith_short_8: 3PUR36UH

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/3PUR36UHD2QLHQIPTTBN6A5KD2 \
  | 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: dbe91dfa871ea0b3c10f9cc2df03aa1eac4001e7e0ec8b87df6695c499ae52af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1117175fc2011ce8400e7f0bb6af7c18d26cc6d6f342cf9efcae5722e26b3211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-16T18:24:21Z",
    "title_canon_sha256": "dfbe61a521bc9eed3a4e83e2b074f6c822c8cbb6fab4a361dc5bb4c9563b4886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05398",
    "kind": "arxiv",
    "version": 1
  }
}