Pith Number

pith:EEUBU4PB

pith:2016:EEUBU4PBDNMUCRIKMIOWRI3E5D

not attested not anchored not stored refs pending

Packing near the tiling density and exponential bases for product domains

Mihail N. Kolountzakis

arxiv:1606.02452 v1 · 2016-06-08 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEUBU4PBDNMUCRIKMIOWRI3E5D}

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	2026-05-18T01:12:41.335420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21281a71e11b5941450a621d68a364e8e3d7dfb8621644c59882e7b28da37d53

Aliases

arxiv: 1606.02452 · arxiv_version: 1606.02452v1 · doi: 10.48550/arxiv.1606.02452 · pith_short_12: EEUBU4PBDNMU · pith_short_16: EEUBU4PBDNMUCRIK · pith_short_8: EEUBU4PB

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/EEUBU4PBDNMUCRIKMIOWRI3E5D \
  | 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: 21281a71e11b5941450a621d68a364e8e3d7dfb8621644c59882e7b28da37d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e32ab0fc559767721d35a71c5731716706703942003952b422408d77c99e568",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-08T08:36:00Z",
    "title_canon_sha256": "a503b877de3c9248a4864cfd1c0c48aa58380f7c5b4f3d6e4fa3cc5a6be13dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02452",
    "kind": "arxiv",
    "version": 1
  }
}