Pith Number

pith:UJ274BCZ

pith:2010:UJ274BCZS6FQIVWT5MF2DCNSHF

not attested not anchored not stored refs pending

Linear independence of time frequency translates for special configurations

Ciprian Demeter

arxiv:1006.0732 v2 · 2010-06-03 · 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{UJ274BCZS6FQIVWT5MF2DCNSHF}

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	2026-05-18T01:18:04.967430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a275fe0459978b0456d3eb0ba189b23968a61dbf7f62d8147d4a16dfe158ccf3

Aliases

arxiv: 1006.0732 · arxiv_version: 1006.0732v2 · doi: 10.48550/arxiv.1006.0732 · pith_short_12: UJ274BCZS6FQ · pith_short_16: UJ274BCZS6FQIVWT · pith_short_8: UJ274BCZ

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/UJ274BCZS6FQIVWT5MF2DCNSHF \
  | 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: a275fe0459978b0456d3eb0ba189b23968a61dbf7f62d8147d4a16dfe158ccf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d2fa9c89fa3d292de74aabb4a718e44d8854a5c9a4c1e3646b961710d6f77e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-06-03T20:08:06Z",
    "title_canon_sha256": "f5699e11db0321f449fbe0b6c6fc351c9d364b490e2d38c2b1a78d848724ecc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0732",
    "kind": "arxiv",
    "version": 2
  }
}