Pith Number

pith:GWW2O6AW

pith:2011:GWW2O6AWGP5ZRWZSDETORKTJUP

not attested not anchored not stored refs pending

Uncertainty Principles in Finitely generated Shift-Invariant Spaces with additional invariance

Haichao Wang, Romain Tessera

arxiv:1111.3990 v2 · 2011-11-16 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWW2O6AWGP5ZRWZSDETORKTJUP}

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	2026-05-18T03:44:49.363689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ada7781633fb98db321926e8aa69a3f667f9f418b4426f1b2350fe7d1f0f38

Aliases

arxiv: 1111.3990 · arxiv_version: 1111.3990v2 · doi: 10.48550/arxiv.1111.3990 · pith_short_12: GWW2O6AWGP5Z · pith_short_16: GWW2O6AWGP5ZRWZS · pith_short_8: GWW2O6AW

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/GWW2O6AWGP5ZRWZSDETORKTJUP \
  | 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: 35ada7781633fb98db321926e8aa69a3f667f9f418b4426f1b2350fe7d1f0f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4317637f62faf4ad389c4f132b57f51efafbea6e8ec5d464f6e1e5b5db827f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-16T23:02:32Z",
    "title_canon_sha256": "a28ad5d65f5847ce762f4f71eb3a982028dd757a80ce9baab179b25e5e497b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3990",
    "kind": "arxiv",
    "version": 2
  }
}