Pith Number

pith:VBVIHQES

pith:2016:VBVIHQESXQT4AXTOXYLTHTPWDY

not attested not anchored not stored refs pending

Around Uncertainty Principles of Ingham-type on $\R^n$, $\T^n$ and Two Step Nilpotent Lie Groups

Mithun Bhowmik, Suparna Sen, Swagato K. Ray

arxiv:1605.09616 v1 · 2016-05-31 · 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{VBVIHQESXQT4AXTOXYLTHTPWDY}

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	2026-05-18T01:13:10.467960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86a83c092bc27c05e6ebe1733cdf61e13359148de5016c8772f7a015e8eb424

Aliases

arxiv: 1605.09616 · arxiv_version: 1605.09616v1 · doi: 10.48550/arxiv.1605.09616 · pith_short_12: VBVIHQESXQT4 · pith_short_16: VBVIHQESXQT4AXTO · pith_short_8: VBVIHQES

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/VBVIHQESXQT4AXTOXYLTHTPWDY \
  | 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: a86a83c092bc27c05e6ebe1733cdf61e13359148de5016c8772f7a015e8eb424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a2b82993f9eccdec17c5528ba14e04e8ac8ffaeee870caabdb98bd67531872",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-31T13:15:16Z",
    "title_canon_sha256": "49ba2ce1e7e0d2ec935e9b8cbcf00615734cc325f92fa2e3f0bea65254ab3398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09616",
    "kind": "arxiv",
    "version": 1
  }
}